Quasilinear elliptic problems with critical exponents and Hardy terms

DOI10.1016/j.na.2005.01.030zbMath1210.35021OpenAlexW2075563022MaRDI QIDQ1775877

Pigong Han

Publication date: 4 May 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.2005.01.030

zbMATH Keywords

energy functionalquasilinear elliptic equationPalais-Smale conditioncritical Sobolev exponent

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Semilinear elliptic equations (35J61)

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Cites Work

• Unnamed Item
• Unnamed Item
• Solutions for semilinear elliptic equations with critical exponents and Hardy potential
• The concentration-compactness principle in the calculus of variations. The limit case. I
• Best constant in Sobolev inequality
• Hardy inequalities and some critical elliptic and parabolic problems
• The role played by space dimension in elliptic critical problems
• A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms.
• Elliptic problems with critical exponents and Hardy potentials.
• On the variational principle
• Quasilinear elliptic equations involving critical Sobolev exponents
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• Selected new aspects of the calculus of variations in the large
• Multiple positive and nodal solutions for semilinear elliptic problems with critical exponents
• Existence of solutions for singular critical growth semilinear elliptic equations