Nontrivial solution for a semilinear elliptic equation in unbounded domain with critical Sobolev exponent

DOI10.1016/S0022-247X(02)00129-4zbMath1195.35138OpenAlexW2091357368MaRDI QIDQ1851307

Shaowei Chen, Yongqing Li

Publication date: 16 December 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00129-4

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for linear elliptic equations (35J65) 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)

Related Items (2)

On an electromagnetic Schrödinger equation with critical growth ⋮ Existence of solutions for an elliptic equation with indefinite weight

Cites Work

• An existence result for nonliner elliptic problems involving critical Sobolev exponent
• Remarks on the Schrödinger operator with singular complex potentials
• Multiplicity of positive solutions for some quasilinear elliptic equations in \(\mathbb{R}^N\) with critical Sobolev exponent
• Minimax theorems
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Extrema problems with critical sobolev exponents on unbounded domains
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