On a nonlinear parametric Robin problem with a locally defined reaction

DOI10.1016/J.NA.2019.03.019zbMath1426.35106OpenAlexW2938198794WikidataQ112251710 ScholiaQ112251710MaRDI QIDQ2312574

Nikolaos S. Papageorgiou, Leszek Gasiński

Publication date: 17 July 2019

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2019.03.019

zbMATH Keywords

critical groupnodal solutionnonlinear regularitylocally defined reactionextremal constant sign solution

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 (6)

Multiple constant sign and nodal solutions for nonlinear nonhomogeneous elliptic equations depending on a parameter ⋮ Multiple solutions for a quasilinear Schrödinger equation involving critical Hardy–Sobolev exponent with Robin boundary condition ⋮ Unnamed Item ⋮ Sequences of high and low energy solutions for weighted \((p, q)\)-equations ⋮ Unnamed Item ⋮ Asymptotically vanishing nodal solutions for critical double phase problems

Cites Work

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• Coercive and noncoercive nonlinear Neumann problems with indefinite potential
• Nonlinear elliptic equations with a jumping reaction
• Nonlinear nonhomogeneous Robin problems with superlinear reaction term
• Positive solutions for perturbations of the Robin eigenvalue problem plus an indefinite potential
• Nonlinear Dirichlet problems with no growth restriction on the reaction
• Nonlinear Robin problems with a reaction of arbitrary growth
• The maximum principle
• Positive solutions for the Robin \(p\)-Laplacian problem with competing nonlinearities
• Asymmetric \(8(p,2)\)-equations with double resonance
• A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations
• Multiple Constant Sign and Nodal Solutions for Nonlinear Neumann Eigenvalue Problems
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• Positive solutions for parametric semilinear Robin problems with indefinite and unbounded potential
• Nonlinear Analysis - Theory and Methods
• The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
• Variational inequalities for energy functionals with nonstandard growth conditions

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