A unified treatment using critical point methods of the existence of multiple solutions for superlinear and sublinear Neumann problems

DOI10.3934/CPAA.2011.10.1791zbMath1234.35080OpenAlexW2320627255MaRDI QIDQ652079

Nikolaos S. Papageorgiou, Donal O'Regan, Motreanu, Dumitru

Publication date: 19 December 2011

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2011.10.1791

zbMATH Keywords

Morse theorycritical point theorygradient flowmultiple solutionstruncation techniquesupper-lower solutionssuperlinear and sublinear problems

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) 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)

Related Items (4)

Infinitely many solutions to singular convective Neumann systems with arbitrarily growing reactions ⋮ Multiplicity of solutions for Neumann problems for semilinear elliptic equations ⋮ The Neumann problem for a degenerate elliptic system near resonance ⋮ Nonlinear Neumann problems with indefinite potential and concave terms

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