The existence of positive solution to some asymptotically linear elliptic equations in exterior domains

DOI10.4171/RMI/466zbMath1134.35038OpenAlexW2058124266MaRDI QIDQ879630

Gongbao Li, Gao-Feng Zheng

Publication date: 14 May 2007

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/1161871348

zbMATH Keywords

positive solutionexterior domainalgebraic topology argumentasymptotically linear elliptic

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) 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)

Related Items (7)

Positive solutions for asymptotically linear problems in exterior domains ⋮ Existence of a positive solution for a class of elliptic problems in exterior domains involving critical growth ⋮ Ground state solutions for electromagnetic Schrödinger equations on unbounded domains ⋮ Normalized solutions of mass subcritical fractional Schrödinger equations in exterior domains ⋮ Existence of solution for a class of elliptic problems in exterior domain with discontinuous nonlinearity ⋮ Existence of solutions for a class of fractional elliptic problems on exterior domains ⋮ An existence result for a class of magnetic problems in exterior domains

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