Multiple solutions for inhomogeneous elliptic problems involving critical Sobolev-Hardy exponents

DOI10.1016/j.na.2004.09.048zbMath1163.35378OpenAlexW1983525121MaRDI QIDQ1763867

Yinbin Deng, Dongsheng Kang

Publication date: 22 February 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.09.048

zbMATH Keywords

variational methodssingularitycompactnessmultiple solutionscritical Sobolev-Hardy exponents

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60)

Related Items (11)

Four solutions of an inhomogeneous elliptic equation with critical exponent and singular term ⋮ PARAMETRIZED PERTURBATION RESULTS ON GLOBAL POSITIVE SOLUTIONS FOR ELLIPTIC EQUATIONS INVOLVING CRITICAL SOBOLEV-HARDY EXPONENTS AND HARDY TEREMS ⋮ Multiple solutions for nonhomogeneous elliptic equations involving critical Caffarelli-Kohn-Nirenberg exponent ⋮ Multiple solutions for nonhomogeneous Choquard equation involving Hardy-Littlewood-Sobolev critical exponent ⋮ A ground state solution for a nonhomogeneous elliptic Kirchhoff type problem involving critical growth and Hardy term ⋮ Some results for a class of Kirchhoff-type problems with Hardy-Sobolev critical exponent ⋮ Multiplicity result for a class of elliptic equations with singular term ⋮ On nonhomogeneous singular elliptic equations with cylindrical weights ⋮ Existence and multiplicity of solutions for Schrödinger equation with inverse square potential and Hardy-Sobolev critical exponent ⋮ Existence of sign-changing solutions for a nonlinear elliptic problem on \(\mathbb R^N\) with a Hardy term ⋮ A Multiplicity Result for a Non-Homogeneous Subelliptic Problem with Sobolev Exponent

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• Positive solutions for singular critical elliptic problems.
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• Existence of solutions for singular critical growth semilinear elliptic equations

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