On the existence of positive solution for a semilinear elliptic equation on Esteban-Lions domain with ``hole

DOI10.1016/J.NA.2005.01.101zbMath1330.35142OpenAlexW2017150336MaRDI QIDQ1779853

Shaowei Chen, Yongqing Li, Shu-Jie Li

Publication date: 1 June 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.2005.01.101

zbMATH Keywords

semilinear elliptic equationsPalais-Smale conditionunbounded domain

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Cites Work

• Nonlinear scalar field equations. I: Existence of a ground state
• Symmetry and related properties via the maximum principle
• On the existence of a positive solution of semilinear elliptic equations in unbounded domains
• A theorem about representation of Palais-Smale sequence and its applications
• Minimax theorems
• Existence and non-existence results for semilinear elliptic problems in unbounded domains
• Existence and multiplicity results for semilinear elliptic Dirichlet problems in exterior domains

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