Infinitely many nodal solutions for semilinear Robin problems with an indefinite linear part

DOI10.1016/J.AML.2016.08.011zbMath1354.35054OpenAlexW2513434947MaRDI QIDQ338951

Vicenţiu D. Rădulescu, Nikolaos S. Papageorgiou

Publication date: 7 November 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.08.011

zbMATH Keywords

regularity theoryRobin boundary conditionnodal solutionsindefinite potentialCarathéodory reactionsuperlinear near zero

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (2)

Robin problems with a general potential and a superlinear reaction ⋮ Infinitely many smooth nodal solutions for Orlicz Robin problems

Cites Work

• Robin problems with indefinite, unbounded potential and reaction of arbitrary growth
• Infinitely many nodal solutions for nonlinear nonhomogeneous Robin problems
• Existence of seven solutions for an asymptotically linear Dirichlet problem without symmetries
• Multiple solutions for a class of semilinear elliptic equations with general potentials
• Seven solutions with sign information for sublinear equations with unbounded and indefinite potential and no symmetries
• Free Ljusternik-Schnirelman theory and the bifurcation diagrams of certain singular nonlinear problems
• Neumann problems of semilinear elliptic equations involving critical Sobolev exponents
• Infinitely many solutions for a class of semilinear elliptic equations
• Multiple solutions with precise sign for nonlinear parametric Robin problems
• A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations
• On a Parametric Nonlinear Dirichlet Problem with Subdiffusive and Equidiffusive Reaction
• Multiplicity of solutions for resonant Neumann problems with an indefinite and unbounded potential
• Semilinear Neumann problems with indefinite and unbounded potential and crossing nonlinearity
• Nonlinear boundary value problems with concave nonlinearities near the origin
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