On elliptic problems involving critical Hardy-Sobolev exponents and sign-changing function

DOI10.1016/j.na.2010.03.053zbMath1192.35080OpenAlexW1984449044MaRDI QIDQ984059

Rodrigo Da Silva Rodrigues

Publication date: 13 July 2010

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.2010.03.053

zbMATH Keywords

quasilinear elliptic equationscritical Hardy-Sobolev exponentNehari manifolds

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Degenerate elliptic equations (35J70) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Related Items

Existence of nontrivial solutions for singular quasilinear elliptic equations on \(\mathbb R^N\) ⋮ Existence and multiplicity of weak solutions for a singular quasilinear elliptic equation ⋮ Existence of multiple solutions for a singular elliptic problem with critical Sobolev exponent ⋮ On Caffarelli-Kohn-Nirenberg type problems with a sign-changing term ⋮ Nontrivial solutions for a class of critical elliptic equations of Caffarelli-Kohn-Nirenberg type ⋮ Existence and multiplicity results for singular quasilinear elliptic equation on unbounded domain ⋮ Existence of multiple solutions for singular elliptic problems with nonlinear boundary conditions ⋮ Multiple solutions of critical singular degenerate elliptic system with concave-convex nonlinearities

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