@article {2011, title = {Osservazioni sui teoremi di inversione globale}, journal = {Rendiconti Lincei - Matematica e Applicazioni 22 (2011) 3-15}, number = {SISSA;64/2010/M}, year = {2011}, publisher = {European Mathematical Society}, abstract = {Some global inversion theorems with applications to semilinear elliptic equation are discussed.}, doi = {10.4171/RLM/584}, url = {http://hdl.handle.net/1963/4068}, author = {Antonio Ambrosetti} } @article {2010, title = {On the number of positive solutions of some semilinear elliptic problems}, number = {SISSA;66/2010/M}, year = {2010}, url = {http://hdl.handle.net/1963/4083}, author = {Antonio Ambrosetti} } @article {2008, title = {Multiple bound states for the Schroedinger-Poisson problem}, journal = {Commun. Contemp. Math. 10 (2008) 391-404}, year = {2008}, doi = {10.1142/S021919970800282X}, url = {http://hdl.handle.net/1963/2679}, author = {Antonio Ambrosetti and David Ruiz} } @article {2008, title = {Solitons of linearly coupled systems of semilinear non-autonomous equations on Rn}, journal = {J. Funct. Anal. 254 (2008) 2816-2845}, number = {SISSA;73/2007/M}, year = {2008}, abstract = {Using concentration compactness type arguments, we prove some results about the existence of positive ground and bound state of linearly coupled systems of nonlinear Schr{\"o}dinger equations.}, doi = {10.1016/j.jfa.2007.11.013}, url = {http://hdl.handle.net/1963/2175}, author = {Antonio Ambrosetti and Giovanna Cerami and David Ruiz} } @inbook {2007, title = {Concentration phenomena for nonlinear Schr{\"o}dinger equations: Recent results and new perspectives}, booktitle = {Perspectives in Nonlinear Partial Differential Equations: In Honor of Ha{\"\i}m Brezis / ed. by Henri Beresticky [et al.]. - Providence : American Mathematical Society, 2007. - (Contemporary mathematics ; 446). - p. 19-30}, year = {2007}, publisher = {American Mathematical Society}, organization = {American Mathematical Society}, abstract = {We survey some results on (NLSepsilon), discussing also new perspectives and open problems.}, url = {http://hdl.handle.net/1963/3516}, author = {Antonio Ambrosetti and Andrea Malchiodi} } @article {2007, title = {Multi-bump solitons to linearly coupled systems of nonlinear Schr{\"o}dinger equations}, number = {SISSA;29/2006/M}, year = {2007}, doi = {10.1007/s00526-006-0079-0}, url = {http://hdl.handle.net/1963/1835}, author = {Antonio Ambrosetti and Eduardo Colorado and David Ruiz} } @article {2007, title = {Standing waves of some coupled Nonlinear Schr{\"o}dinger Equations}, number = {SISSA;02/2006/M}, year = {2007}, abstract = {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.}, doi = {10.1112/jlms/jdl020}, url = {http://hdl.handle.net/1963/1821}, author = {Antonio Ambrosetti and Eduardo Colorado} } @article {2006, title = {Bound and ground states of coupled nonlinear Schr{\"o}dinger equations}, journal = {C. R. Acad. Sci. Paris, Ser. I 342 (2006) 453-458}, year = {2006}, abstract = {We prove existence of bound and ground states of some systems of coupled nonlinear Schrodinger equations.}, doi = {10.1016/j.crma.2006.01.024}, url = {http://hdl.handle.net/1963/2149}, author = {Antonio Ambrosetti and Eduardo Colorado} } @article {2006, title = {Bound states of Nonlinear Schroedinger Equations with Potentials Vanishing at Infinity}, journal = {J. Anal. Math. 98 (2006) 317-348}, number = {SISSA;18/2005/M}, year = {2006}, doi = {10.1007/BF02790279}, url = {http://hdl.handle.net/1963/1756}, author = {Antonio Ambrosetti and Andrea Malchiodi and David Ruiz} } @article {2006, title = {Radial solutions concentrating on spheres of nonlinear Schr{\"o}dinger equations with vanishing potentials}, journal = {Proc. Roy. Soc. Edinburgh Sect. A 136 (2006) 889-907}, number = {SISSA;38/2005/M}, year = {2006}, abstract = {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.}, doi = {10.1017/S0308210500004789}, url = {http://hdl.handle.net/1963/1755}, author = {Antonio Ambrosetti and David Ruiz} } @article {2005, title = {Ground states of nonlinear Schroedinger equations with potentials vanishing at infinity}, journal = {J. Eur. Math. Soc. 7 (2005) 117-144}, number = {SISSA;16/2004/M}, year = {2005}, abstract = {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 $\\\\theta= (p+1)/(p-1)-1/2$.}, url = {http://hdl.handle.net/1963/2352}, author = {Antonio Ambrosetti and Veronica Felli and Andrea Malchiodi} } @article {2005, title = {Nonlinear Schr{\"o}dinger Equations with vanishing and decaying potentials}, number = {SISSA;52/2005/M}, year = {2005}, url = {http://hdl.handle.net/1963/1760}, author = {Antonio Ambrosetti and Wang Zhi-Qiang} } @article {2004, title = {Singularity perturbed elliptic equations with symmetry: existence of solutions concetrating on spheres, Part II}, journal = {Indiana Univ. Math. J. 53 (2004) 297-392}, number = {SISSA;93/2002/M}, year = {2004}, publisher = {Indiana University Mathematics Journal}, doi = {10.1512/iumj.2004.53.2400}, url = {http://hdl.handle.net/1963/1663}, author = {Antonio Ambrosetti and Andrea Malchiodi and Wei-Ming Ni} } @article {2003, title = {Positive solutions to a class of quasilinear elliptic equations on R}, journal = {Discrete Contin.Dyn.Syst. 9 (2003), no.1, 55-68}, number = {SISSA;58/2002/M}, year = {2003}, publisher = {American Institute of Mathematical Sciences}, abstract = {We discuss the existence of positive solutions of perturbation to a class of quasilinear elliptic equations on R.}, doi = {10.3934/dcds.2003.9.55}, url = {http://hdl.handle.net/1963/1628}, author = {Antonio Ambrosetti and Wang Zhi-Qiang} } @article {2003, title = {Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres, Part I}, journal = {Comm. Math. Phys. 235 (2003) no.3, 427-466}, number = {SISSA;63/2002/M}, year = {2003}, publisher = {Springer}, doi = {10.1007/s00220-003-0811-y}, url = {http://hdl.handle.net/1963/1633}, author = {Antonio Ambrosetti and Andrea Malchiodi and Wei-Ming Ni} } @article {2002, title = {Multiplicity results for the Yamabe problem on Sn}, journal = {Proceedings of the National Academy of Sciences of the United States of America. 2002 Nov; 99(24):15252-6}, number = {PMID:12399546;}, year = {2002}, publisher = {National Academy of Sciences}, abstract = {We discuss some results related to the existence of multiple solutions for the Yamabe problem.}, doi = {10.1073/pnas.222494199}, url = {http://hdl.handle.net/1963/5885}, author = {Antonio Ambrosetti} } @article {2002, title = {Solutions concentrating on spheres to symmetric singularly perturbed problems}, journal = {C.R.Math.Acad.Sci. Paris 335 (2002),no.2,145-150}, number = {SISSA;23/2002/M}, year = {2002}, publisher = {SISSA Library}, abstract = {We discuss some existence results concerning problems (NLS) and (N), proving the existence of radial solutions concentrating on a sphere.}, doi = {10.1016/S1631-073X(02)02414-7}, url = {http://hdl.handle.net/1963/1594}, author = {Antonio Ambrosetti and Andrea Malchiodi and Wei-Ming Ni} } @article {2002, title = {On the Yamabe problem and the scalar curvature problems under boundary conditions}, journal = {Math. Ann., 2002, 322, 667}, number = {SISSA;52/00/M}, year = {2002}, publisher = {SISSA Library}, doi = {10.1007/s002080100267}, url = {http://hdl.handle.net/1963/1510}, author = {Antonio Ambrosetti and Li YanYan and Andrea Malchiodi} } @article {2001, title = {Multiplicity results for some nonlinear Schrodinger equations with potentials}, journal = {Arch. Ration. Mech. An., 2001, 159, 253}, number = {SISSA;108/00/AF}, year = {2001}, publisher = {SISSA Library}, doi = {10.1007/s002050100152}, url = {http://hdl.handle.net/1963/1564}, author = {Antonio Ambrosetti and Andrea Malchiodi and Simone Secchi} } @article {2001, title = {On the symmetric scalar curvature problem on S\\\\sp n}, journal = {J. Differential Equations 170 (2001) 228-245}, year = {2001}, publisher = {Elsevier}, abstract = {We discuss some existence results dealing with the scalar curvature problem on S\\\\sp n in the presence of various symmetries.}, doi = {10.1006/jdeq.2000.3816}, url = {http://hdl.handle.net/1963/3095}, author = {Antonio Ambrosetti and Andrea Malchiodi} } @article {2000, title = {Elliptic variational problems in $ R\\\\sp N$ with critical growth}, journal = {J. Differential Equations 168 (2000), no. 1, 10--32}, number = {SISSA;44/99/M}, year = {2000}, publisher = {SISSA Library}, doi = {10.1006/jdeq.2000.3875}, url = {http://hdl.handle.net/1963/1258}, author = {Antonio Ambrosetti and Jesus Garcia Azorero and Ireneo Peral} } @article {2000, title = {Existence and multiplicity results for some nonlinear elliptic equations: a survey.}, journal = {Rend. Mat. Appl., 2000, 20, 167}, number = {SISSA;4/00/M}, year = {2000}, publisher = {SISSA Library}, url = {http://hdl.handle.net/1963/1462}, author = {Antonio Ambrosetti and Jesus Garcia Azorero and Ireneo Peral} } @article {2000, title = {A note on the scalar curvature problem in the presence of symmetries}, journal = {Ricerche Mat. 49 (2000), suppl., 169-176}, number = {SISSA;150/99/M}, year = {2000}, publisher = {SISSA Library}, url = {http://hdl.handle.net/1963/1365}, author = {Antonio Ambrosetti and Li YanYan and Andrea Malchiodi} } @article {2000, title = {Scalar curvature under boundary conditions}, journal = {Cr. Acad. Sci. I-Math, 2000, 330, 1013}, number = {SISSA;48/00/M}, year = {2000}, publisher = {SISSA Library}, doi = {10.1016/S0764-4442(00)00312-8}, url = {http://hdl.handle.net/1963/1506}, author = {Antonio Ambrosetti and Li YanYan and Andrea Malchiodi} } @article {1999, title = {A multiplicity result for the Yamabe problem on $S\\\\sp n$}, journal = {J. Funct. Anal. 168 (1999), no. 2, 529-561}, number = {SISSA;50/99/M}, year = {1999}, publisher = {Elsevier}, abstract = {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.}, doi = {10.1006/jfan.1999.3458}, url = {http://hdl.handle.net/1963/1264}, author = {Antonio Ambrosetti and Andrea Malchiodi} } @article {1999, title = {Perturbation of $\Delta u+u^{(N+2)/(N-2)}=0$, the scalar curvature problem in $R^N$, and related topics}, journal = {J. Funct. Anal. 165 (1999) 117-149}, number = {SISSA;141/98/M}, year = {1999}, publisher = {Elsevier}, abstract = {

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.

}, doi = {10.1006/jfan.1999.3390}, url = {http://hdl.handle.net/1963/3255}, author = {Antonio Ambrosetti and Jesus Garcia Azorero and Ireneo Peral} } @article {1999, title = {On the scalar curvature problem under symmetry}, number = {SISSA;73/99/M}, year = {1999}, publisher = {SISSA Library}, url = {http://hdl.handle.net/1963/1287}, author = {Antonio Ambrosetti and Andrea Malchiodi} } @article {1998, title = {Branching points for a class of variational operators}, journal = {J. Anal. Math. 76 (1998) 321-335}, year = {1998}, publisher = {Springer}, doi = {10.1007/BF02786940}, url = {http://hdl.handle.net/1963/3314}, author = {Antonio Ambrosetti} } @article {1987, title = {Solutions with minimal period for Hamiltonian systems in a potential well.}, journal = {Ann. Inst. H. Poincare Anal. Non Lineaire 4 (1987), no. 3, 275-296}, number = {SISSA;79/85/M}, year = {1987}, publisher = {SISSA Library}, url = {http://hdl.handle.net/1963/466}, author = {Antonio Ambrosetti and Vittorio Coti Zelati} } @article {1987, title = {Symmetry breaking in Hamiltonian systems}, journal = {J. Differential Equations 67 (1987), no. 2, 165-184}, number = {SISSA;22/85/M}, year = {1987}, publisher = {SISSA Library}, url = {http://hdl.handle.net/1963/409}, author = {Antonio Ambrosetti and Vittorio Coti Zelati and Ivar Ekeland} } @article {1982, title = {Differential equations with multiple solutions and nonlinear functional analysis}, journal = {Equadiff 82 (Wurzburg, 1982), 10--37, Lecture Notes in Math., 1017, Springer, Berlin, 1983}, number = {SISSA;71/82/M}, year = {1982}, publisher = {SISSA Library}, url = {http://hdl.handle.net/1963/222}, author = {Antonio Ambrosetti} } @article {1981, title = {Recent advances in the study of the existence of periodic orbits of Hamiltonian systems}, journal = {Advances in Hamiltonian systems (Rome, 1981), 1--22, Ann. CEREMADE, Birkhauser Boston, Boston, MA, 1983.}, number = {SISSA;8/82/M}, year = {1981}, publisher = {SISSA Library}, url = {http://hdl.handle.net/1963/159}, author = {Antonio Ambrosetti} }