Nodal Solutions for Nonlinear Non-Homogeneous Robin Problems with an Indefinite Potential

DOI10.1017/S0013091518000044zbMath1422.35050OpenAlexW2808634711WikidataQ112251717 ScholiaQ112251717MaRDI QIDQ5228183

Leszek Gasiński, Nikolaos S. Papageorgiou

Publication date: 9 August 2019

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091518000044

zbMATH Keywords

Robin boundary conditionnodal solutionsnonlinear regularity theorynonlinear non-homogeneous differential operator

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Nonlinear elliptic equations (35J60)

Related Items (3)

Unnamed Item ⋮ Unnamed Item ⋮ Asymptotically vanishing nodal solutions for critical double phase problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Infinitely many nodal solutions for nonlinear nonhomogeneous Robin problems
• Coercive and noncoercive nonlinear Neumann problems with indefinite potential
• Nonlinear elliptic equations with a jumping reaction
• Nonlinear nonhomogeneous Robin problems with superlinear reaction term
• Dirichlet (\(p,q\))-equations at resonance
• Multiplicity of positive solutions for eigenvalue problems of \((p,2)\)-equations
• Nonhomogeneous nonlinear Dirichlet problems with a \(p\)-superlinear reaction
• Multiplicity theorems for nonlinear nonhomogeneous Robin problems
• Multiple solutions for nonlinear coercive problems with a nonhomogeneous differential operator and a nonsmooth potential
• Qualitative phenomena for some classes of quasilinear elliptic equations with multiple resonance
• The maximum principle
• Positive solutions for nonlinear nonhomogeneous Robin problems
• Free Ljusternik-Schnirelman theory and the bifurcation diagrams of certain singular nonlinear problems
• Infinitely many sign-changing solutions for \(p\)-Laplacian Neumann problems with indefinite weight
• Nodal and multiple solutions for nonlinear elliptic equations involving a reaction with zeros
• Critical groups at zero and multiple solutions for a quasilinear elliptic equation
• A pair of positive solutions for \((p, q)\)-equations with combined nonlinearities
• 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
• Positive Solutions for the Generalized Nonlinear Logistic Equations
• Nodal solutions for (𝑝,2)-equations
• Wang’s multiplicity result for superlinear $(p,q)$–equations without the Ambrosetti–Rabinowitz condition
• The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
• Resonant nonlinear Neumann problems with indefinite weight
• Nonlinear Parametric Robin Problems with Combined Nonlinearities
• Resonant (p, 2)-equations with asymmetric reaction
• Nonlinear boundary value problems with concave nonlinearities near the origin

This page was built for publication: Nodal Solutions for Nonlinear Non-Homogeneous Robin Problems with an Indefinite Potential