Multiple Constant Sign and Nodal Solutions for Superlinear Elliptic Equations

DOI10.1619/FESI.52.437zbMATH Open1190.35094OpenAlexW2023459033MaRDI QIDQ3552326

Nikolaos S. Papageorgiou, Sophia Th. Kyritsi

Publication date: 15 April 2010

Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1619/fesi.52.437

zbMATH Keywords

semilinear elliptic equationscritical groupsMorse theoryDirichlet problemscritical pointmultiple solutionssuperlinear growthsign information

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

Related Items (3)

Multiple nodal solutions for nonlinear nonhomogeneous elliptic problems with a superlinear reaction ⋮ Constant sign solutions for double phase problems with superlinear nonlinearity ⋮ Multibump nodal solutions for an indefinite superlinear elliptic problem

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