Positive and nodal solutions for parametric nonlinear Robin problems with indefinite potential

DOI10.3934/dcds.2016068zbMath1352.35019OpenAlexW2515097126MaRDI QIDQ325234

Dimitri Mugnai, Genni Fragnelli, Nikolaos S. Papageorgiou

Publication date: 18 October 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2016068

zbMATH Keywords

critical groupsPicone identitynodal solutionssuperlinear reactionindefinite potentialbifurcation-type theorem for positive solutionsnonlinear regularity and maximum principle

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)

Multiple constant sign and nodal solutions for nonlinear nonhomogeneous elliptic equations depending on a parameter ⋮ On a singular Robin problem with convection terms ⋮ Positive solutions for resonant \((p, q)\)-equations with concave terms ⋮ Nodal solutions for the Robin \(p\)-Laplacian plus an indefinite potential and a general reaction term ⋮ Nonlinear Nonhomogeneous Elliptic Problems ⋮ Perturbed eigenvalue problems for the Robin \(p\)-Laplacian plus an indefinite potential ⋮ Pairs of solutions for Robin problems with an indefinite and unbounded potential, resonant at zero and infinity ⋮ Unnamed Item ⋮ Solutions and positive solutions for superlinear Robin problems ⋮ Parameter dependence for the positive solutions of nonlinear, nonhomogeneous Robin problems ⋮ Noncoercive resonant \((p,2)\)-equations with concave terms ⋮ Multiple nodal solutions to a Robin problem with sign-changing potential and locally defined reaction

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