%0 Journal Article %J Proceedings of the American Mathematical Society 139 (2011) 4445-4459 %D 2011 %T Planar loops with prescribed curvature: existence, multiplicity and uniqueness results %A Roberta Musina %K Plane curves %B Proceedings of the American Mathematical Society 139 (2011) 4445-4459 %I American Mathematical Society %G en_US %U http://hdl.handle.net/1963/3842 %1 867 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2010-02-08T14:32:58Z\\r\\nNo. of bitstreams: 1\\r\\nMusina_loops.pdf: 273296 bytes, checksum: f8e3d605bca8421d5c606f9e490c911b (MD5) %R 10.1090/S0002-9939-2011-10915-8 %0 Report %D 2010 %T Sharp nonexistence results for a linear elliptic inequality involving Hardy and Leray potentials %A Mouhamed Moustapha Fall %A Roberta Musina %X In this paper we deal with nonnegative distributional supersolutions for a class of linear\\nelliptic equations involving inverse-square potentials and logarithmic weights. We prove sharp nonexistence results. %G en_US %U http://hdl.handle.net/1963/3869 %1 840 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2010-05-28T10:38:12Z\\nNo. of bitstreams: 1\\nFall_Musina_2010.pdf: 232933 bytes, checksum: cfcad2e3f6d3120912888f823d290d5c (MD5) %0 Report %D 2009 %T Bubbles with prescribed mean curvature: the variational approach %A Paolo Caldiroli %A Roberta Musina %G en_US %U http://hdl.handle.net/1963/3659 %1 646 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2009-07-08T13:03:07Z\\nNo. of bitstreams: 1\\nSISSA 35-2009-M.pdf: 294313 bytes, checksum: cf6b1d87612220dc9238502f59175615 (MD5) %0 Journal Article %J Nonlinear Anal. 70 (2009) 3002-3007 %D 2009 %T Existence of extremals for the Maz\\\'ya and for the Caffarelli-Kohn-Nirenberg inequalities %A Roberta Musina %X This paper deals with some Sobolev-type inequalities with weights that were proved by Maz\\\'ya in 1980 and by Caffarelli-Kohn-Nirenberg in 1984. %B Nonlinear Anal. 70 (2009) 3002-3007 %G en_US %U http://hdl.handle.net/1963/2739 %1 1961 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-08-27T08:18:23Z\\nNo. of bitstreams: 1\\nMusinaCortona2.pdf: 220927 bytes, checksum: aeec20cde67e9e00bc1109988f192159 (MD5) %R 10.1016/j.na.2008.12.024 %0 Journal Article %J Commun. Contemp. Math. 11 (2009) 993-1007 %D 2009 %T Hardy-Sobolev-Maz\\\'ja inequalities: symmetry and breaking symmetry of extremal functions %A Marita Gazzini %A Roberta Musina %B Commun. Contemp. Math. 11 (2009) 993-1007 %G en_US %U http://hdl.handle.net/1963/2569 %1 1551 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-01-21T11:13:29Z\\nNo. of bitstreams: 1\\nGaMu2.pdf: 291392 bytes, checksum: 026cb4fccae5ac75b171e8a2923b84ca (MD5) %R 10.1142/S0219199709003636 %0 Journal Article %J J. Funct. Anal. 256 (2009) 2741-2745 %D 2009 %T A note on the paper \\\"Optimizing improved Hardy inequalities\\\" by S. Filippas and A. Tertikas %A Roberta Musina %B J. Funct. Anal. 256 (2009) 2741-2745 %G en_US %U http://hdl.handle.net/1963/2698 %1 1402 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-07-25T14:46:48Z\\nNo. of bitstreams: 1\\nMusina_FiTe.pdf: 141073 bytes, checksum: 84d3efccc14d223256f9971f03942f4e (MD5) %R 10.1016/j.jfa.2008.08.009 %0 Journal Article %J J. Math. Anal. Appl. 352 (2009) 99-111 %D 2009 %T On a Sobolev type inequality related to the weighted p-Laplace operator %A Marita Gazzini %A Roberta Musina %B J. Math. Anal. Appl. 352 (2009) 99-111 %G en_US %U http://hdl.handle.net/1963/2613 %1 1510 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-04-03T10:13:10Z\\nNo. of bitstreams: 1\\nGaMu3.pdf: 298467 bytes, checksum: 6de8ed2f5202430d4c5b002c5f613347 (MD5) %R 10.1016/j.jmaa.2008.06.021 %0 Report %D 2007 %T On the Maz\\\'ya inequalities: existence and multiplicity results for an elliptic problem involving cylindrical weights %A Marita Gazzini %A Roberta Musina %G en_US %U http://hdl.handle.net/1963/2522 %1 1596 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2007-12-11T12:04:02Z\\nNo. of bitstreams: 1\\nGazzini.pdf: 266073 bytes, checksum: eb239636fd06715d381d38055d96481e (MD5) %0 Journal Article %J Atti .Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 18 (2007) 209-219 %D 2007 %T On the regularity of weak solutions to H-systems %A Roberta Musina %X Abstract. In this paper we prove that every weak solution to the H-surface equation is locally bounded, provided the prescibed mean curvatore H is asymptotic to a constant at infinity (with a suitable decay rate). No smoothness ssumptions are required on H. We consider also the Dirichlet problem.... %B Atti .Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 18 (2007) 209-219 %G en_US %U http://hdl.handle.net/1963/1753 %1 2791 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2006-03-20T11:28:05Z\\nNo. of bitstreams: 1\\n36M.pdf: 150157 bytes, checksum: 61fa8ec27fb7c35396978c1aa4dd26fd (MD5) %0 Journal Article %J Arch. Ration. Mech. Anal. 181 (2006) 1-42 %D 2006 %T The Dirichlet problem for H-systems with small boundary data: blowup phenomena and nonexistence results %A Paolo Caldiroli %A Roberta Musina %B Arch. Ration. Mech. Anal. 181 (2006) 1-42 %G en_US %U http://hdl.handle.net/1963/2252 %1 1995 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2007-10-18T07:32:51Z\\nNo. of bitstreams: 1\\nCaldiroliMusina04.pdf: 395788 bytes, checksum: f37ad36b2fc2eb85d6430053a575ed8c (MD5) %R 10.1007/s00205-005-0398-x %0 Journal Article %J Adv. Differential Equations 11 (2006) 931-960 %D 2006 %T On Palais-Smale sequences for H-systems: some examples %A Paolo Caldiroli %A Roberta Musina %X We exhibit a series of examples of Palais-Smale sequences for the Dirichlet problem associated to the mean curvature equation with null boundary condition, and we show that in the case of nonconstant mean curvature functions different kinds of blow up phenomena appear and Palais-Smale sequences may have quite wild behaviour. %B Adv. Differential Equations 11 (2006) 931-960 %G en_US %U http://hdl.handle.net/1963/2157 %1 2087 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2007-10-02T07:36:26Z\\nNo. of bitstreams: 1\\n32M.pdf: 296654 bytes, checksum: 7052b4b72f783376708b6bc60c882375 (MD5) %0 Journal Article %J Rev. Mat. Iberoamericana 20 (2004) 611-626 %D 2004 %T Existence of H-bubbles in a perturbative setting %A Paolo Caldiroli %A Roberta Musina %X Given a $C^{1}$ function $H: \\\\mathbb{R}^3 \\\\to \\\\mathbb{R}$, we look for $H$-bubbles, i.e., surfaces in $\\\\mathbb{R}^3$ parametrized by the sphere $\\\\mathbb{S}^2$ with mean curvature $H$ at every regular point. Here we study the case $H(u)=H_{0}(u)+\\\\epsilon H_{1}(u)$ where $H_{0}$ is some \\\"good\\\" curvature (for which there exist $H_{0}$-bubbles with minimal energy, uniformly bounded in $L^{\\\\infty}$), $\\\\epsilon$ is the smallness parameter, and $H_{1}$ is {\\\\em any} $C^{1}$ function. %B Rev. Mat. Iberoamericana 20 (2004) 611-626 %I SISSA Library %G en %U http://hdl.handle.net/1963/1606 %1 2512 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T13:05:13Z (GMT). No. of bitstreams: 0\\n Previous issue date: 2002 %0 Journal Article %J Duke Math. J. 122 (2004), no. 3, 457--484 %D 2004 %T H-bubbles in a perturbative setting: the finite-dimensional reduction\\\'s method %A Paolo Caldiroli %A Roberta Musina %X Given a regular function $H\\\\colon\\\\mathbb{R}^{3}\\\\to\\\\mathbb{R}$, we look for $H$-bubbles, that is, regular surfaces in $\\\\mathbb{R}^{3}$ parametrized on the sphere $\\\\mathbb{S}+^{2}$ with mean curvature $H$ at every point. Here we study the case of $H(u)=H_{0}+\\\\varepsilon H_{1}(u)=:H_{\\\\varepsilon}(u)$, where $H_{0}$ is a nonzero constant, $\\\\varepsilon$ is the smallness parameter, and $H_{1}$ is any $C^{2}$-function. We prove that if $\\\\bar p\\\\in\\\\mathbb{R}^{3}$ is a ``good\\\'\\\' stationary point for the Melnikov-type function $\\\\Gamma(p)=-\\\\int_{|q-p|<|H_{0}|^{-1}}H_{1}(q)\\\\,dq$, then for $|\\\\varepsilon|$ small there exists an $H_{\\\\varepsilon}$-bubble $\\\\omega^{\\\\varepsilon}$ that converges to a sphere of radius $|H_{0}|^{-1}$ centered at $\\\\bar p$, as $\\\\varepsilon\\\\to 0$. %B Duke Math. J. 122 (2004), no. 3, 457--484 %I SISSA Library %G en %U http://hdl.handle.net/1963/1607 %1 2511 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T13:05:13Z (GMT). No. of bitstreams: 0\\n Previous issue date: 2002 %R 10.1215/S0012-7094-04-12232-8 %0 Journal Article %J J. Anal. Math. 94 (2004) 265-291 %D 2004 %T The role of the spectrum of the Laplace operator on \\\\S2 in the H-bubble problem %A Roberta Musina %B J. Anal. Math. 94 (2004) 265-291 %I Hebrew University Magnes Press %G en_US %U http://hdl.handle.net/1963/2894 %1 1806 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-09-11T08:25:18Z\\nNo. of bitstreams: 1\\n30-03.pdf: 329914 bytes, checksum: 3895c2d75f9be226052e7d4797d7cd9c (MD5) %R 10.1007/BF02789050 %0 Journal Article %J Commun. Contemp. Math. 4 (2002) 177-209 %D 2002 %T Existence of minimal H-bubbles %A Paolo Caldiroli %A Roberta Musina %B Commun. Contemp. Math. 4 (2002) 177-209 %I SISSA Library %G en %U http://hdl.handle.net/1963/1525 %1 2638 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T13:03:37Z (GMT). No. of bitstreams: 1\\nmath.AP0006157.pdf: 242337 bytes, checksum: ad4f345871a0c7fb33e9c4bc361ce4d8 (MD5)\\n Previous issue date: 2000 %R 10.1142/S021919970200066X %0 Journal Article %J Adv. Differential Equations 6 (2001), no. 3, 303-326 %D 2001 %T Existence and nonexistence results for a class of nonlinear, singular Sturm-Liouville equations %A Paolo Caldiroli %A Roberta Musina %B Adv. Differential Equations 6 (2001), no. 3, 303-326 %I SISSA Library %G en %U http://hdl.handle.net/1963/1319 %1 3136 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T12:56:13Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1999 %0 Book Section %B Nonlinear equations : methods, models and applications (Bergamo, 2001) / Daniela Lupo, Carlo D. Pagani, Bernhard Ruf, editors. - Basel : Birkhäuser, 2003. - (Progress in nonlinear differential equations and their applications; 54). - p. 61-77 %D 2001 %T S^2 type parametric surfaces with prescribed mean curvature and minimal energy %A Paolo Caldiroli %A Roberta Musina %B Nonlinear equations : methods, models and applications (Bergamo, 2001) / Daniela Lupo, Carlo D. Pagani, Bernhard Ruf, editors. - Basel : Birkhäuser, 2003. - (Progress in nonlinear differential equations and their applications; 54). - p. 61-77 %I Birkhauser %G en %U http://hdl.handle.net/1963/1605 %1 2513 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T13:05:12Z (GMT). No. of bitstreams: 0\\n Previous issue date: 2002 %0 Journal Article %J Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) 4 (2001), no. 3, 609-633. %D 2001 %T Stationary states for a two-dimensional singular Schrodinger equation %A Paolo Caldiroli %A Roberta Musina %B Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) 4 (2001), no. 3, 609-633. %I SISSA Library %G en %U http://hdl.handle.net/1963/1249 %1 3206 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T12:55:18Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1999 %0 Journal Article %D 2000 %T On a Steffen\\\'s result about parametric surfaces with prescribed mean curvature %A Roberta Musina %A Paolo Caldiroli %I SISSA Library %G en %U http://hdl.handle.net/1963/1558 %1 2560 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T13:04:07Z (GMT). No. of bitstreams: 0\\n Previous issue date: 2000 %0 Journal Article %J Comm. Partial Differential Equations, 14 (1989), no.12, 1717-1743. %D 1989 %T An approach to the thin obstacle problem for variational functionals depending on vector %A Gianni Dal Maso %A Roberta Musina %B Comm. Partial Differential Equations, 14 (1989), no.12, 1717-1743. %I SISSA Library %G en %U http://hdl.handle.net/1963/802 %1 2989 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T12:38:08Z (GMT). No. of bitstreams: 0\\r\\n Previous issue date: 1989 %0 Journal Article %J Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 16 (1989), no. 3, 331--354 (1990). %D 1989 %T Surfaces of minimal area enclosing a given body in R\\\\sp 3. %A Giovanni Mancini %A Roberta Musina %B Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 16 (1989), no. 3, 331--354 (1990). %I SISSA Library %G en %U http://hdl.handle.net/1963/619 %1 3285 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T12:35:32Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1988 %0 Journal Article %J Ann. Inst. H. Poincare Anal. Non Lineaire 5 (1988), no. 4, 323-345 %D 1988 %T Holes and obstacles %A Roberta Musina %A Giovanni Mancini %B Ann. Inst. H. Poincare Anal. Non Lineaire 5 (1988), no. 4, 323-345 %I SISSA Library %G en %U http://hdl.handle.net/1963/501 %1 3403 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T12:33:41Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1987 %0 Journal Article %J Ann. Univ. Ferrara Sez. VII (N.S.) 34 (1988), 1-14 %D 1988 %T H-surfaces with obstacles. (Italian) %A Roberta Musina %B Ann. Univ. Ferrara Sez. VII (N.S.) 34 (1988), 1-14 %I SISSA Library %G en %U http://hdl.handle.net/1963/491 %1 3413 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T12:33:33Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1987 %0 Thesis %D 1988 %T Variational Problems with Obstructions %A Roberta Musina %I SISSA %G en %U http://hdl.handle.net/1963/5832 %1 5683 %2 Mathematics %3 Functional Analysis and Applications %4 -1 %$ Submitted by Maria Pia Calandra (calapia@sissa.it) on 2012-05-15T10:46:56Z\\nNo. of bitstreams: 1\\nPhD_Musina_Roberta.pdf: 10260545 bytes, checksum: 5aebbcbae10f3a5388571a5a85abc8bd (MD5)