POSITIVE SOLUTIONS FOR ELLIPTIC EQUATIONS RELATED TO THE CAFFARELLI–KOHN–NIRENBERG INEQUALITIES

DOI10.1142/S0219199709003338zbMath1173.35583OpenAlexW2005676773MaRDI QIDQ3636104

Shuangjie Peng, Yinbin Deng, Lingyu Jin

Publication date: 30 June 2009

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199709003338

zbMATH Keywords

singularitycritical pointdegeneracyCaffarelli-Kohn-Nirenberg inequalities

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) First-order nonlinear hyperbolic equations (35L60) Variational methods for second-order elliptic equations (35J20)

Related Items (2)

Nontrivial solutions for a class of critical elliptic equations of Caffarelli-Kohn-Nirenberg type ⋮ Positive solutions to a semilinear elliptic equation with a Sobolev-Hardy term

Cites Work

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• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• A global compactness result for elliptic boundary value problems involving limiting nonlinearities
• 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.
• Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities
• Quasilinear elliptic equations involving critical Sobolev exponents
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Existence of solutions for singular critical growth semilinear elliptic equations

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