Nonlinear Robin problems with a reaction of arbitrary growth

DOI10.1007/S10231-015-0512-0zbMath1348.35066OpenAlexW1047374684MaRDI QIDQ740041

Patrick Winkert, Nikolaos S. Papageorgiou

Publication date: 11 August 2016

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-015-0512-0

zbMATH Keywords

critical groupsnodal solutionRobin problemnonlinear maximum principlenonlinear regularitysuperlinear near zeroconstant signreaction with zeros

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) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (11)

Multiple nodal solutions for nonlinear nonhomogeneous elliptic problems with a superlinear reaction ⋮ Nonlinear, nonhomogeneous Robin problems with indefinite potential and general reaction ⋮ Nonhomogeneous hemivariational inequalities with indefinite potential and Robin boundary condition ⋮ Multiple solutions to quasi-linear elliptic Robin systems ⋮ Nonlinear Nonhomogeneous Elliptic Problems ⋮ Nodal solutions for nonlinear nonhomogeneous Robin problems ⋮ Multiple solutions with sign information for a \(( p, 2)\)-equation with combined nonlinearities ⋮ Multiple solutions with sign information for a class of coercive \((p, 2)\)-equations ⋮ Solutions with sign information for nonlinear Robin problems with no growth restriction on reaction ⋮ On a nonlinear parametric Robin problem with a locally defined reaction ⋮ Multiple nodal solutions to a Robin problem with sign-changing potential and locally defined reaction

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