Nonlinear, nonhomogeneous Robin problems with indefinite potential and general reaction
DOI10.1007/S00245-018-9521-XzbMath1441.35109arXiv2006.01633OpenAlexW3098413070MaRDI QIDQ2187332
Vicenţiu D. Rădulescu, Nikolaos S. Papageorgiou, Dušan D. Repovš
Publication date: 2 June 2020
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.01633
critical groupsnonhomogeneous differential operatorconstant sign and nodal solutionsnonlinear regularity theoryinfinitely many nodal solutions
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 (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Infinitely many nodal solutions for nonlinear nonhomogeneous Robin problems
- Coercive and noncoercive nonlinear Neumann problems with indefinite potential
- Nonlinear nonhomogeneous Robin problems with superlinear reaction term
- Multiple solutions for an eigenvalue problem involving \(p\)-Laplacian type operators
- Multiple solutions to a Robin problem with indefinite weight and asymmetric reaction
- Multiple and nodal solutions for parametric Neumann problems with nonhomogeneous differential operator and critical growth
- Positive solutions for perturbations of the Robin eigenvalue problem plus an indefinite potential
- Multiplicity of solutions for a class of the quasilinear elliptic equations at resonance
- Nonlinear Robin problems with a reaction of arbitrary growth
- Qualitative phenomena for some classes of quasilinear elliptic equations with multiple resonance
- The maximum principle
- Exercises in analysis. II: Nonlinear analysis
- Positive solutions of the \(p\)-Laplacian involving a superlinear nonlinearity with zeros
- Neumann problems of semilinear elliptic equations involving critical Sobolev exponents
- \((p, q)\) systems with critical terms in \(\mathbb{R}^N\)
- \((p,2)\)-equations asymmetric at both zero and infinity
- Existence theorems for quasilinear elliptic eigenvalue problems in unbounded domains
- Orlicz-Sobolev versus Hölder local minimizer and multiplicity results for quasilinear elliptic equations
- Critical groups at zero and multiple solutions for a quasilinear elliptic equation
- On a class of parametric \((p,2)\)-equations
- Multiple solutions with precise sign for nonlinear parametric Robin problems
- Schrödinger equations with concave and convex nonlinearities
- A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations
- Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
- Wang’s multiplicity result for superlinear $(p,q)$–equations without the Ambrosetti–Rabinowitz condition
- Strict Monotonicity of Eigenvalues and Unique Continuation
- The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
- Degree theory for operators of monotone type and nonlinear elliptic equations with inequality constraints
- Nontrivial Solutions forp-Laplace Equations with Right-Hand Side Havingp-Linear Growth at Infinity
- Nonlinear boundary value problems with concave nonlinearities near the origin
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