$L^{p}$ estimates and asymptotic behavior for finite energy solutions of extremals to Hardy-Sobolev inequalities

DOI10.1090/S0002-9947-2010-04850-0zbMath1220.35199arXivmath/0601662MaRDI QIDQ3082342

Dimiter Vassilev

Publication date: 10 March 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601662

zbMATH Keywords

\(p\)-Laplace equationbest constant and extremals to Hardy-Sobolev inequalities, asymptotic behavior of weak solutions at infinity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Partial differential inequalities and systems of partial differential inequalities (35R45) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09)

Related Items (max. 100)

\(L^p\)-weak regularity and asymptotic behavior of solutions for critical equations with singular potentials on Carnot groups ⋮ Infinitely many solutions for a Hardy-Sobolev equation involving critical growth ⋮ Localized nodal solutions for a critical nonlinear Schrödinger equation ⋮ The Lichnerowicz and Obata first eigenvalue theorems and the Obata uniqueness result in the Yamabe problem on CR and quaternionic contact manifolds ⋮ INFINITELY MANY SOLUTIONS FOR HARDY–SOBOLEV–MAZ'YA EQUATION INVOLVING CRITICAL GROWTH ⋮ Optimal decay of \(p\)-Sobolev extremals on Carnot groups ⋮ Asymptotic behaviour of solutions for a class of degenerate elliptic critical problems ⋮ Apriori decay estimates for Hardy-Sobolev-Maz'ya equations ⋮ Critical problems with Hardy potential on stratified Lie groups

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