Existence results for Brezis-Nirenberg problems with Hardy potential and singular coefficients

DOI10.1016/J.NA.2006.09.018zbMath1387.35261OpenAlexW2115786216MaRDI QIDQ2373843

Yajun Yan, Shaowei Su, Benjin Xuan

Publication date: 16 July 2007

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.2006.09.018

zbMATH Keywords

Hardy potentialsingular coefficientBrezis-Nirenberg problemnon-resonantresonant

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Related Items (13)

Positive solution to singular semilinear elliptic problems ⋮ Multiple solutions for nonhomogeneous elliptic equations involving critical Caffarelli-Kohn-Nirenberg exponent ⋮ On the existence and multiplicity of solutions for a class of singular elliptic problems ⋮ On singular nonhomogeneous elliptic equations involving critical Caffarelli-Kohn-Nirenberg exponent ⋮ Existence of weak solutions to degenerate \(p\)-Laplacian equations and integral formulas ⋮ Existence of multiple solutions for the Brezis-Nirenberg-type problem with singular coefficients ⋮ On \(G\)-symmetric solutions of critical elliptic equations of Caffarelli-Kohn-Nirenberg type ⋮ On the existence of multiple solutions for fractional Brezis–Nirenberg‐type equations ⋮ Nontrivial solutions for a class of critical elliptic equations of Caffarelli-Kohn-Nirenberg type ⋮ On a singular elliptic system at resonance ⋮ Multiple solutions for the Brezis-Nirenberg problem with a Hardy potential and singular coefficients ⋮ On singular elliptic equations involving a concave term and critical Caffarelli-Kohn-Nirenberg exponent ⋮ Extremal functions and best constants to an inequality involving Hardy potential and critical Sobolev exponent

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