Nonlinear nonhomogeneous Robin problems with superlinear reaction term

DOI10.1515/ans-2016-0023zbMath1352.35021OpenAlexW2508132646MaRDI QIDQ329870

Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu

Publication date: 24 October 2016

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2016-0023

zbMATH Keywords

critical groupscritical growthsuperlinear reactionboundedness of weak solutionsalmost critical growthnonlinear regularity and nonlinear maximum principlethree nontrivial solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20)

Related Items (only showing first 100 items - show all)

Global existence and multiplicity for nonlinear Robin eigenvalue problems ⋮ Multiplicity results for nonlinear nonhomogeneous Robin problems with indefinite potential term ⋮ Three solutions to mixed boundary value problem driven by p(z)‐Laplace operator ⋮ Existence of solutions for resonant double phase problems with mixed boundary value conditions ⋮ Sign-changing solutions for parametric Neumann problems with broken symmetry and arbitrary growth ⋮ Sequences of high and low energy solutions for weighted \((p, q)\)-equations ⋮ Positive solutions for a class of nonlinear parametric Robin problems ⋮ Positive solutions for nonlinear singular problems with sign-changing nonlinearities ⋮ Global multiplicity of positive solutions for nonlinear Robin problems with an indefinite potential term ⋮ Robin problems with a general potential and a superlinear reaction ⋮ Nonlinear concave-convex problems with indefinite weight ⋮ Infinitely many nodal solutions for nonlinear nonhomogeneous Robin problems ⋮ The Brezis-Oswald result for quasilinear Robin problems ⋮ Nonlinear nonhomogeneous Robin problems with dependence on the gradient ⋮ Asymmetric Robin problems with indefinite potential and concave terms ⋮ Moser iteration applied to elliptic equations with critical growth on the boundary ⋮ Multiple nodal solutions for nonlinear nonhomogeneous elliptic problems with a superlinear reaction ⋮ Unnamed Item ⋮ Ambrosetti-Prodi problems for the Robin \((p, q)\)-Laplacian ⋮ Positive and nodal solutions for parametric nonlinear Robin problems with indefinite potential ⋮ Unnamed Item ⋮ Arbitrarily small nodal solutions for parametric Robin \((p, q)\)-equations plus an indefinite potential ⋮ Positive solutions for resonant \((p, q)\)-equations with concave terms ⋮ Arbitrarily small nodal solutions for nonhomogeneous Robin problems ⋮ Multiple solutions for resonant problems of the Robin \(p\)-Laplacian plus an indefinite potential ⋮ Multiple solutions for Robin \((p,q)\)-equations plus an indefinite potential and a reaction concave near the origin ⋮ Existence and multiplicity of positive solutions for parametric nonlinear nonhomogeneous singular Robin problems ⋮ Positive solutions for nonlinear Robin problems with indefinite potential and competing nonlinearities ⋮ Existence, nonexistence and multiplicity of positive solutions for nonlinear, nonhomogeneous Neumann problems ⋮ Multiple solutions for nonlinear nonhomogeneous resonant coercive problems ⋮ Nodal solutions for the Robin \(p\)-Laplacian plus an indefinite potential and a general reaction term ⋮ Unnamed Item ⋮ Global strong solution of fourth order nonlinear wave equation ⋮ Pairs of nontrivial smooth solutions for nonlinear Neumann problems ⋮ Nonlinear, nonhomogeneous Robin problems with indefinite potential and general reaction ⋮ Nonhomogeneous hemivariational inequalities with indefinite potential and Robin boundary condition ⋮ Constant sign and nodal solutions for superlinear \((p, q)\)-equations with indefinite potential and a concave boundary term ⋮ Positive solutions for parametric singular Dirichlet \(( p, q)\)-equations ⋮ Unnamed Item ⋮ A multiplicity theorem for parametric superlinear (p,q)-equations ⋮ Strongly singular nonhomogeneous eigenvalue problems ⋮ Multiplicity of solutions for nonlinear nonhomogeneous Robin problems ⋮ Singular Neumann \((p, q)\)-equations ⋮ Nonlinear Nonhomogeneous Elliptic Problems ⋮ Semilinear Robin problems with indefinite potential and competition phenomena ⋮ Weak approximative compactness of hyperplane and Asplund property in Musielak-Orlicz-Bochner function spaces ⋮ Algebraic topological techniques for elliptic problems involving fractional Laplacian ⋮ Resonant Robin problems driven by the p-Laplacian plus an indefinite potential ⋮ Multiple ground-state solutions with sign information for double-phase Robin problems ⋮ Nonlinear nonhomogeneous Robin problems with gradient dependent reaction ⋮ Positive solutions for the Robin \(p\)-Laplacian problem with competing nonlinearities ⋮ Nodal solutions for indefinite Robin problems ⋮ Robin double-phase problems with singular and superlinear terms ⋮ Perturbed eigenvalue problems for the Robin \(p\)-Laplacian plus an indefinite potential ⋮ Unnamed Item ⋮ Nodal solutions for nonlinear nonhomogeneous Robin problems ⋮ Perturbations of nonlinear eigenvalue problems ⋮ Robin problems for the \(p\)-Laplacian with gradient dependence ⋮ Multiple solutions for \((p, 2)\)-equations at resonance ⋮ Existence and multiplicity of solutions for double‐phase Robin problems ⋮ Nonlinear eigenvalue problems for the \((p,q)\)-Laplacian ⋮ Nonlinear nonhomogeneous Robin problems with almost critical and partially concave reaction ⋮ Positive solutions for the Neumann \(p\)-Laplacian ⋮ Constant sign and nodal solutions for superlinear double phase problems ⋮ Multiple solutions with sign information for a \(( p, 2)\)-equation with combined nonlinearities ⋮ Multiple solutions for superlinear double phase Neumann problems ⋮ Arbitrarily positive initial energy blowup and blowup time for some fourth-order viscous wave equation ⋮ Superlinear (p(z), q(z))-equations ⋮ Existence and multiplicity of solutions for resonant \((p,2)\)-equations ⋮ Positive solutions for nonlinear nonhomogeneous parametric Robin problems ⋮ Double-phase problems with reaction of arbitrary growth ⋮ Unnamed Item ⋮ Anisotropic Robin problems with logistic reaction ⋮ Nonlinear nonhomogeneous singular problems ⋮ Solutions and positive solutions for superlinear Robin problems ⋮ Eigenvalue problems and their perturbations for the weighted \((p,q)\)-Laplacian ⋮ Multiple solutions with sign information for a class of parametric superlinear \((p, 2)\)-equations ⋮ On the set of positive solutions for resonant Robin \((p, q)\)-equations ⋮ Parameter dependence for the positive solutions of nonlinear, nonhomogeneous Robin problems ⋮ Continuous spectrum for a two phase eigenvalue problem with an indefinite and unbounded potential ⋮ Ground state and nodal solutions for a class of double phase problems ⋮ On a class of critical Robin problems ⋮ \((p, 2)\)-equations with a crossing nonlinearity and concave terms ⋮ Solutions with sign information for nonlinear Robin problems with no growth restriction on reaction ⋮ Semilinear pseudo-parabolic equations on manifolds with conical singularities ⋮ Singular (p, q)-equations with superlinear reaction and concave boundary condition ⋮ Existence of positive solutions for nonlinear Robin problems with gradient dependence ⋮ Nonlinear nonhomogeneous Robin problems with convection ⋮ Hyperbolic and parabolic equations with several opposite-sign source at critical initial energy level in heat and vibrating systems ⋮ Nonlinear Robin problems with indefinite potential ⋮ Positive solutions for nonlinear Neumann problems with singular terms and convection ⋮ Anisotropic singular double Phase Dirichlet problems ⋮ Nodal Solutions for Nonlinear Non-Homogeneous Robin Problems with an Indefinite Potential ⋮ Constant sign and nodal solutions for parametric \((p, 2)\)-equations ⋮ On a nonlinear parametric Robin problem with a locally defined reaction ⋮ A singular eigenvalue problem for the Dirichlet \((p, q)\)-Laplacian ⋮ Positive Solutions for Parametric Nonlinear Nonhomogeneous Robin Problems ⋮ Nonlinear nonhomogeneous boundary value problems with competition phenomena ⋮ Multiple nodal solutions to a Robin problem with sign-changing potential and locally defined reaction ⋮ The boundedness and Hölder continuity of weak solutions to elliptic equations involving variable exponents and critical growth

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiplicity of solutions for a class of the quasilinear elliptic equations at resonance
• Nonlinear Neumann equations driven by a nonhomogeneous differential operator
• Constant-sign and nodal solutions of coercive \((p, q)\)-Laplacian problems
• Qualitative phenomena for some classes of quasilinear elliptic equations with multiple resonance
• On a superlinear elliptic equation
• The maximum principle
• Superlinear problems without Ambrosetti and Rabinowitz growth condition
• The existence of a nontrivial solution to a nonlinear elliptic boundary value problem of \(p\)-Laplacian type without the Ambrosetti-Rabinowitz condition
• \(L^\infty\)-estimates for nonlinear elliptic Neumann boundary value problems
• On superlinear problems without the Ambrosetti and Rabinowitz condition
• Handbook of applied analysis
• On a \(p\)-superlinear Neumann \(p\)-Laplacian equation
• Neumann problems of semilinear elliptic equations involving critical Sobolev exponents
• Solitons in several space dimensions: Derrick's problem and infinitely many solutions
• Homotopical stability of isolated critical points of continuous functionals
• On the stationary solutions of generalized reaction diffusion equations with \(p\)\& \(q\)-Laplacian
• Dual variational methods in critical point theory and applications
• Existence of least energy positive, negative and nodal solutions for a class of \(p \& q\)-problems with potentials vanishing at infinity
• 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
• Exercises in analysis. Part 1
• Linear and quasilinear elliptic equations
• Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
• Multiple solutions for nonlinear Neumann problems driven by a nonhomogeneous differential operator
• Wang’s multiplicity result for superlinear $(p,q)$–equations without the Ambrosetti–Rabinowitz condition
• Quasilinear elliptic equations involving critical Sobolev exponents
• Multiple solutions of a superlinearp-Laplacian equation without AR-condition
• Boundary regularity for solutions of degenerate elliptic equations
• Weakly Differentiable Functions
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS
• The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
• Variational Methods
• Resonant (p, 2)-equations with asymmetric reaction
• 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

This page was built for publication: Nonlinear nonhomogeneous Robin problems with superlinear reaction term