Multiple nodal solutions to a Robin problem with sign-changing potential and locally defined reaction

DOI10.4171/RLM/847zbMath1429.35063arXiv1808.07622WikidataQ127644896 ScholiaQ127644896MaRDI QIDQ2319585

Nikolaos S. Papageorgiou, Salvatore A. Marano, Umberto Guarnotta

Publication date: 20 August 2019

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.07622

zbMATH Keywords

nodal solutionsRobin problemindefinite potentiallocally defined reaction

Mathematics Subject Classification ID

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 (12)

On a singular Robin problem with convection terms ⋮ On a Dirichlet problem with \((p,q)\)-Laplacian and parametric concave-convex nonlinearity ⋮ Nodal solutions for anisotropic \((p, q)\)-equations ⋮ Arbitrarily small nodal solutions for parametric Robin \((p, q)\)-equations plus an indefinite potential ⋮ Anisotropic Dirichlet double phase problems with competing nonlinearities ⋮ On a nonlinear Robin problem with an absorption term on the boundary and \(L^1\) data ⋮ Infinitely many solutions to singular convective Neumann systems with arbitrarily growing reactions ⋮ A sub-supersolution approach for Neumann boundary value problems with gradient dependence ⋮ Solutions with sign information for nonlinear Robin problems with no growth restriction on reaction ⋮ Strongly singular convective elliptic equations in \(\mathbb{R}^N\) driven by a non-homogeneous operator ⋮ CONSTANT SIGN AND NODAL SOLUTIONS FOR NONLINEAR ROBIN EQUATIONS WITH LOCALLY DEFINED SOURCE TERM ⋮ Non-homogeneous Dirichlet problems with concave-convex reaction

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