%0 Journal Article %J Rendiconti Lincei - Matematica e Applicazioni 22 (2011) 3-15 %D 2011 %T Osservazioni sui teoremi di inversione globale %A Antonio Ambrosetti %X Some global inversion theorems with applications to semilinear elliptic equation are discussed. %B Rendiconti Lincei - Matematica e Applicazioni 22 (2011) 3-15 %I European Mathematical Society %G en_US %U http://hdl.handle.net/1963/4068 %1 334 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2010-09-20T10:54:19Z\\r\\nNo. of bitstreams: 1\\r\\nAmbrosetti_64M_2010.pdf: 208213 bytes, checksum: 21e1562f4cbcd9ceb8c1b8c8afe9e442 (MD5) %R 10.4171/RLM/584 %0 Report %D 2010 %T On the number of positive solutions of some semilinear elliptic problems %A Antonio Ambrosetti %G en_US %U http://hdl.handle.net/1963/4083 %1 320 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2010-10-04T09:32:44Z\\nNo. of bitstreams: 1\\nAmbrosetti_66M_2010.pdf: 141739 bytes, checksum: c56d5c17199fdefcd3d62c0b2da958a1 (MD5) %0 Journal Article %J Commun. Contemp. Math. 10 (2008) 391-404 %D 2008 %T Multiple bound states for the Schroedinger-Poisson problem %A Antonio Ambrosetti %A David Ruiz %B Commun. Contemp. Math. 10 (2008) 391-404 %G en_US %U http://hdl.handle.net/1963/2679 %1 1421 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-07-01T12:26:30Z\\nNo. of bitstreams: 1\\nAmbrosettiRuiz06.pdf: 226363 bytes, checksum: 59048d8662e1823466ba8f56a48d2808 (MD5) %R 10.1142/S021919970800282X %0 Journal Article %J J. Funct. Anal. 254 (2008) 2816-2845 %D 2008 %T Solitons of linearly coupled systems of semilinear non-autonomous equations on Rn %A Antonio Ambrosetti %A Giovanna Cerami %A David Ruiz %X Using concentration compactness type arguments, we prove some results about the existence of positive ground and bound state of linearly coupled systems of nonlinear Schrödinger equations. %B J. Funct. Anal. 254 (2008) 2816-2845 %G en_US %U http://hdl.handle.net/1963/2175 %1 2069 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2007-10-04T08:29:15Z\\nNo. of bitstreams: 1\\nambceruiz.pdf: 305881 bytes, checksum: f00a4a8078e5c5d78d4309cceb317906 (MD5) %R 10.1016/j.jfa.2007.11.013 %0 Book Section %B Perspectives in Nonlinear Partial Differential Equations: In Honor of Haïm Brezis / ed. by Henri Beresticky [et al.]. - Providence : American Mathematical Society, 2007. - (Contemporary mathematics ; 446). - p. 19-30 %D 2007 %T Concentration phenomena for nonlinear Schrödinger equations: Recent results and new perspectives %A Antonio Ambrosetti %A Andrea Malchiodi %X We survey some results on (NLSepsilon), discussing also new perspectives and open problems. %B Perspectives in Nonlinear Partial Differential Equations: In Honor of Haïm Brezis / ed. by Henri Beresticky [et al.]. - Providence : American Mathematical Society, 2007. - (Contemporary mathematics ; 446). - p. 19-30 %I American Mathematical Society %G en_US %U http://hdl.handle.net/1963/3516 %1 748 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2009-02-13T10:16:02Z\\nNo. of bitstreams: 1\\nAmbrosettiMalchiodi05.pdf: 215089 bytes, checksum: ebab967ef76cec8a7269eb964d8ee2d3 (MD5) %0 Report %D 2007 %T Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations %A Antonio Ambrosetti %A Eduardo Colorado %A David Ruiz %B Calc. Var. Partial Differential Equations 30 (2007) 85-112 %G en_US %U http://hdl.handle.net/1963/1835 %1 2381 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2006-06-13T09:30:35Z\\nNo. of bitstreams: 1\\n29M-2006.pdf: 394371 bytes, checksum: de96976aa35a5289ec5ab93a664b9be5 (MD5) %R 10.1007/s00526-006-0079-0 %0 Report %D 2007 %T Standing waves of some coupled Nonlinear Schrödinger Equations %A Antonio Ambrosetti %A Eduardo Colorado %X We deal with a class of systems of NLS equations, proving the existence of bound and ground states provided the coupling parameter is small, respectively, large. %B J. Lond. Math. Soc. 75 (2007) 67-82 %G en_US %U http://hdl.handle.net/1963/1821 %1 2393 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2006-04-18T14:55:22Z\\nNo. of bitstreams: 1\\nsissa,2_2006_M.pdf: 431407 bytes, checksum: 0e294e77a4423c4b41ce178df2187dd3 (MD5) %R 10.1112/jlms/jdl020 %0 Journal Article %J C. R. Acad. Sci. Paris, Ser. I 342 (2006) 453-458 %D 2006 %T Bound and ground states of coupled nonlinear Schrödinger equations %A Antonio Ambrosetti %A Eduardo Colorado %X We prove existence of bound and ground states of some systems of coupled nonlinear Schrodinger equations. %B C. R. Acad. Sci. Paris, Ser. I 342 (2006) 453-458 %G en_US %U http://hdl.handle.net/1963/2149 %1 2094 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2007-09-28T10:05:04Z\\nNo. of bitstreams: 1\\nAmbrosettiColorado05.pdf: 205538 bytes, checksum: 7ada83c882cd1488c72316a917a79c87 (MD5) %R 10.1016/j.crma.2006.01.024 %0 Journal Article %J J. Anal. Math. 98 (2006) 317-348 %D 2006 %T Bound states of Nonlinear Schroedinger Equations with Potentials Vanishing at Infinity %A Antonio Ambrosetti %A Andrea Malchiodi %A David Ruiz %B J. Anal. Math. 98 (2006) 317-348 %G en_US %U http://hdl.handle.net/1963/1756 %1 2788 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2006-03-21T12:13:53Z\\nNo. of bitstreams: 1\\n18M-2005.pdf: 300610 bytes, checksum: cf46904521c6dfea82ac4f4516bc9fe0 (MD5) %R 10.1007/BF02790279 %0 Journal Article %J Proc. Roy. Soc. Edinburgh Sect. A 136 (2006) 889-907 %D 2006 %T Radial solutions concentrating on spheres of nonlinear Schrödinger equations with vanishing potentials %A Antonio Ambrosetti %A David Ruiz %X We prove the existence of radial solutions of 1.2) concentrating at a sphere for potentials which might be zero and might decay to zero at\\r\\ninfinity. The proofs use a perturbation technique in a variational setting, through a Lyapunov-Schmidt reduction. %B Proc. Roy. Soc. Edinburgh Sect. A 136 (2006) 889-907 %G en_US %U http://hdl.handle.net/1963/1755 %1 2789 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2006-03-20T13:11:31Z\\r\\nNo. of bitstreams: 1\\r\\n38M.pdf: 251285 bytes, checksum: e0773652a2fcb13cab0758778b6ea906 (MD5) %R 10.1017/S0308210500004789 %0 Journal Article %J J. Eur. Math. Soc. 7 (2005) 117-144 %D 2005 %T Ground states of nonlinear Schroedinger equations with potentials vanishing at infinity %A Antonio Ambrosetti %A Veronica Felli %A Andrea Malchiodi %X We deal with a class on nonlinear Schr\\\\\\\"odinger equations \\\\eqref{eq:1} with potentials $V(x)\\\\sim |x|^{-\\\\a}$, $0<\\\\a<2$, and $K(x)\\\\sim |x|^{-\\\\b}$, $\\\\b>0$. Working in weighted Sobolev spaces, the existence of ground states $v_{\\\\e}$ belonging to $W^{1,2}(\\\\Rn)$ is proved under the assumption that $p$ satisfies \\\\eqref{eq:p}. Furthermore, it is shown that $v_{\\\\e}$ are {\\\\em spikes} concentrating at a minimum of ${\\\\cal A}=V^{\\\\theta}K^{-2/(p-1)}$, where $\\\\theta= (p+1)/(p-1)-1/2$. %B J. Eur. Math. Soc. 7 (2005) 117-144 %G en_US %U http://hdl.handle.net/1963/2352 %1 1664 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2007-11-07T08:16:53Z\\nNo. of bitstreams: 1\\nGround states.pdf: 901500 bytes, checksum: 741c3d55677b872a40e8e3ff2df2a5d2 (MD5) %0 Report %D 2005 %T Nonlinear Schrödinger Equations with vanishing and decaying potentials %A Antonio Ambrosetti %A Wang Zhi-Qiang %B Differential Integral Equations 18 (2005), no. 12, 1321-1332 %G en_US %U http://hdl.handle.net/1963/1760 %1 2784 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2006-03-22T09:32:48Z\\nNo. of bitstreams: 1\\n52M-2005.pdf: 2540023 bytes, checksum: a022763e63174283e8e626a5c191eb2a (MD5) %0 Journal Article %J Indiana Univ. Math. J. 53 (2004) 297-392 %D 2004 %T Singularity perturbed elliptic equations with symmetry: existence of solutions concetrating on spheres, Part II %A Antonio Ambrosetti %A Andrea Malchiodi %A Wei-Ming Ni %B Indiana Univ. Math. J. 53 (2004) 297-392 %I Indiana University Mathematics Journal %G en %U http://hdl.handle.net/1963/1663 %1 2455 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T13:06:06Z (GMT). No. of bitstreams: 0\\n Previous issue date: 2002 %R 10.1512/iumj.2004.53.2400 %0 Journal Article %J Discrete Contin.Dyn.Syst. 9 (2003), no.1, 55-68 %D 2003 %T Positive solutions to a class of quasilinear elliptic equations on R %A Antonio Ambrosetti %A Wang Zhi-Qiang %X We discuss the existence of positive solutions of perturbation to a class of quasilinear elliptic equations on R. %B Discrete Contin.Dyn.Syst. 9 (2003), no.1, 55-68 %I American Institute of Mathematical Sciences %G en %U http://hdl.handle.net/1963/1628 %1 2490 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T13:05:32Z (GMT). No. of bitstreams: 0\\n Previous issue date: 2002 %R 10.3934/dcds.2003.9.55 %0 Journal Article %J Comm. Math. Phys. 235 (2003) no.3, 427-466 %D 2003 %T Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres, Part I %A Antonio Ambrosetti %A Andrea Malchiodi %A Wei-Ming Ni %B Comm. Math. Phys. 235 (2003) no.3, 427-466 %I Springer %G en %U http://hdl.handle.net/1963/1633 %1 2485 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T13:05:37Z (GMT). No. of bitstreams: 0\\n Previous issue date: 2002 %R 10.1007/s00220-003-0811-y %0 Journal Article %J Proceedings of the National Academy of Sciences of the United States of America. 2002 Nov; 99(24):15252-6 %D 2002 %T Multiplicity results for the Yamabe problem on Sn %A Antonio Ambrosetti %X We discuss some results related to the existence of multiple solutions for the Yamabe problem. %B Proceedings of the National Academy of Sciences of the United States of America. 2002 Nov; 99(24):15252-6 %I National Academy of Sciences %G en %U http://hdl.handle.net/1963/5885 %1 5757 %2 Mathematics %3 Functional Analysis and Applications %4 -1 %$ Submitted by Marta Maurutto (maurutto@sissa.it) on 2012-06-09T13:56:14Z\\nNo. of bitstreams: 0 %R 10.1073/pnas.222494199 %0 Journal Article %J C.R.Math.Acad.Sci. Paris 335 (2002),no.2,145-150 %D 2002 %T Solutions concentrating on spheres to symmetric singularly perturbed problems %A Antonio Ambrosetti %A Andrea Malchiodi %A Wei-Ming Ni %X We discuss some existence results concerning problems (NLS) and (N), proving the existence of radial solutions concentrating on a sphere. %B C.R.Math.Acad.Sci. Paris 335 (2002),no.2,145-150 %I SISSA Library %G en %U http://hdl.handle.net/1963/1594 %1 2524 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T13:05:03Z (GMT). No. of bitstreams: 0\\r\\n Previous issue date: 2002 %R 10.1016/S1631-073X(02)02414-7 %0 Journal Article %J Math. Ann., 2002, 322, 667 %D 2002 %T On the Yamabe problem and the scalar curvature problems under boundary conditions %A Antonio Ambrosetti %A Li YanYan %A Andrea Malchiodi %B Math. Ann., 2002, 322, 667 %I SISSA Library %G en %U http://hdl.handle.net/1963/1510 %1 2653 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T13:03:24Z (GMT). No. of bitstreams: 0\\n Previous issue date: 2000 %R 10.1007/s002080100267 %0 Journal Article %J Arch. Ration. Mech. An., 2001, 159, 253 %D 2001 %T Multiplicity results for some nonlinear Schrodinger equations with potentials %A Antonio Ambrosetti %A Andrea Malchiodi %A Simone Secchi %B Arch. Ration. Mech. An., 2001, 159, 253 %I SISSA Library %G en %U http://hdl.handle.net/1963/1564 %1 2554 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T13:04:12Z (GMT). No. of bitstreams: 1\\nmath.AP0011195.pdf: 190473 bytes, checksum: a234c5a09c7dc021355fabc212c8ccb4 (MD5)\\n Previous issue date: 2000 %R 10.1007/s002050100152 %0 Journal Article %J J. Differential Equations 170 (2001) 228-245 %D 2001 %T On the symmetric scalar curvature problem on S\\\\sp n %A Antonio Ambrosetti %A Andrea Malchiodi %X We discuss some existence results dealing with the scalar curvature problem on S\\\\sp n in the presence of various symmetries. %B J. Differential Equations 170 (2001) 228-245 %I Elsevier %G en_US %U http://hdl.handle.net/1963/3095 %1 1238 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-10-14T10:19:50Z\\nNo. of bitstreams: 1\\nAmbrosettiMalchiodixx.pdf: 307157 bytes, checksum: 40112a5a91f2314b5e07f647bb5fa92a (MD5) %R 10.1006/jdeq.2000.3816 %0 Journal Article %J J. Differential Equations 168 (2000), no. 1, 10--32 %D 2000 %T Elliptic variational problems in $ R\\\\sp N$ with critical growth %A Antonio Ambrosetti %A Jesus Garcia Azorero %A Ireneo Peral %B J. Differential Equations 168 (2000), no. 1, 10--32 %I SISSA Library %G en %U http://hdl.handle.net/1963/1258 %1 3197 %$ Made available in DSpace on 2004-09-01T12:55:25Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1999 %R 10.1006/jdeq.2000.3875 %0 Journal Article %J Rend. Mat. Appl., 2000, 20, 167 %D 2000 %T Existence and multiplicity results for some nonlinear elliptic equations: a survey. %A Antonio Ambrosetti %A Jesus Garcia Azorero %A Ireneo Peral %B Rend. Mat. Appl., 2000, 20, 167 %I SISSA Library %G en %U http://hdl.handle.net/1963/1462 %1 3078 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T13:02:44Z (GMT). No. of bitstreams: 0\\n Previous issue date: 2000 %0 Journal Article %J Ricerche Mat. 49 (2000), suppl., 169-176 %D 2000 %T A note on the scalar curvature problem in the presence of symmetries %A Antonio Ambrosetti %A Li YanYan %A Andrea Malchiodi %B Ricerche Mat. 49 (2000), suppl., 169-176 %I SISSA Library %G en %U http://hdl.handle.net/1963/1365 %1 3090 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T12:56:52Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1999 %0 Journal Article %J Cr. Acad. Sci. I-Math, 2000, 330, 1013 %D 2000 %T Scalar curvature under boundary conditions %A Antonio Ambrosetti %A Li YanYan %A Andrea Malchiodi %B Cr. Acad. Sci. I-Math, 2000, 330, 1013 %I SISSA Library %G en %U http://hdl.handle.net/1963/1506 %1 2657 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T13:03:21Z (GMT). No. of bitstreams: 0\\n Previous issue date: 2000 %R 10.1016/S0764-4442(00)00312-8 %0 Journal Article %J J. Funct. Anal. 168 (1999), no. 2, 529-561 %D 1999 %T A multiplicity result for the Yamabe problem on $S\\\\sp n$ %A Antonio Ambrosetti %A Andrea Malchiodi %X We prove a multiplicity result for the Yamabe problem on the manifold (S, g), where g is a perturbation of the standard metric g0 of Sn. Solutions are found by variational methods via an abstract perturbation result. %B J. Funct. Anal. 168 (1999), no. 2, 529-561 %I Elsevier %G en %U http://hdl.handle.net/1963/1264 %1 3191 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T12:55:30Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1999 %R 10.1006/jfan.1999.3458 %0 Journal Article %J J. Funct. Anal. 165 (1999) 117-149 %D 1999 %T Perturbation of $\Delta u+u^(N+2)/(N-2)=0$, the scalar curvature problem in $R^N$, and related topics %A Antonio Ambrosetti %A Jesus Garcia Azorero %A Ireneo Peral %X

Some nonlinear elliptic equations on $R^N$ which arise perturbing the problem with the critical Sobolev exponent are studied. In particular, some results dealing with the scalar curvature problem in $R^N$ are given.

%B J. Funct. Anal. 165 (1999) 117-149 %I Elsevier %G en_US %U http://hdl.handle.net/1963/3255 %1 1446 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-11-06T13:02:46Z\\nNo. of bitstreams: 1\\nperturbation.pdf: 330668 bytes, checksum: 9e0dfad7ade47327768f2c94e44b4124 (MD5) %R 10.1006/jfan.1999.3390 %0 Journal Article %D 1999 %T On the scalar curvature problem under symmetry %A Antonio Ambrosetti %A Andrea Malchiodi %I SISSA Library %G en %U http://hdl.handle.net/1963/1287 %1 3168 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T12:55:48Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1999 %0 Journal Article %J J. Anal. Math. 76 (1998) 321-335 %D 1998 %T Branching points for a class of variational operators %A Antonio Ambrosetti %B J. Anal. Math. 76 (1998) 321-335 %I Springer %G en_US %U http://hdl.handle.net/1963/3314 %1 1016 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-11-20T13:12:54Z\\nNo. of bitstreams: 1\\nBranching_points.pdf: 204645 bytes, checksum: 127218faa10a2b950d0de4cc02417148 (MD5) %R 10.1007/BF02786940 %0 Journal Article %J Ann. Inst. H. Poincare Anal. Non Lineaire 4 (1987), no. 3, 275-296 %D 1987 %T Solutions with minimal period for Hamiltonian systems in a potential well. %A Antonio Ambrosetti %A Vittorio Coti Zelati %B Ann. Inst. H. Poincare Anal. Non Lineaire 4 (1987), no. 3, 275-296 %I SISSA Library %G en %U http://hdl.handle.net/1963/466 %1 3437 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T12:32:46Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1985 %0 Journal Article %J J. Differential Equations 67 (1987), no. 2, 165-184 %D 1987 %T Symmetry breaking in Hamiltonian systems %A Antonio Ambrosetti %A Vittorio Coti Zelati %A Ivar Ekeland %B J. Differential Equations 67 (1987), no. 2, 165-184 %I SISSA Library %G en %U http://hdl.handle.net/1963/409 %1 3558 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T12:32:09Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1985 %0 Journal Article %J Equadiff 82 (Wurzburg, 1982), 10--37, Lecture Notes in Math., 1017, Springer, Berlin, 1983 %D 1982 %T Differential equations with multiple solutions and nonlinear functional analysis %A Antonio Ambrosetti %B Equadiff 82 (Wurzburg, 1982), 10--37, Lecture Notes in Math., 1017, Springer, Berlin, 1983 %I SISSA Library %G en %U http://hdl.handle.net/1963/222 %1 3745 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T12:26:35Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1982 %0 Journal Article %J Advances in Hamiltonian systems (Rome, 1981), 1--22, Ann. CEREMADE, Birkhauser Boston, Boston, MA, 1983. %D 1981 %T Recent advances in the study of the existence of periodic orbits of Hamiltonian systems %A Antonio Ambrosetti %B Advances in Hamiltonian systems (Rome, 1981), 1--22, Ann. CEREMADE, Birkhauser Boston, Boston, MA, 1983. %I SISSA Library %G en %U http://hdl.handle.net/1963/159 %1 3808 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T12:26:05Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1982