Positive solutions for resonant \((p, q)\)-equations with concave terms

DOI10.3934/cpaa.2018125zbMath1404.35208OpenAlexW2805932757MaRDI QIDQ1660079

Shouchuan Hu, Nikolaos S. Papageorgiou

Publication date: 23 August 2018

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2018125

zbMATH Keywords

positive solutionsvariational methodsnonlinear Robin boundary condition\((p, q)\)-equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (1)

Existence of solutions for critical fractional p&q-Laplacian system

Cites Work

• Unnamed Item
• Unnamed Item
• The Brezis-Oswald result for quasilinear Robin problems
• Bifurcation and one-sign solutions of the \(p\)-Laplacian involving a nonlinearity with zeros
• Positive and nodal solutions for parametric nonlinear Robin problems with indefinite potential
• Nonlinear nonhomogeneous Robin problems with superlinear reaction term
• Positive solutions for nonlinear nonhomogeneous Dirichlet problems with concave-convex nonlinearities
• Dirichlet (\(p,q\))-equations at resonance
• Positive solutions for perturbations of the Robin eigenvalue problem plus an indefinite potential
• A \(p\)-Laplacian supercritical Neumann problem
• The maximum principle
• Bifurcation near infinity for the Robin \(p\)-Laplacian
• Multiplicity of solutions for parametric \(p\)-Laplacian equations with nonlinearity concave near the origin
• Combined effects of concave and convex nonlinearities in some elliptic problems
• \(W^{1,p}\) versus \(C^1\) local minimizers and multiplicity results for quasilinear elliptic equations.
• Some recent results on the Dirichlet problem for \((p,q)\)-Laplace equations
• Positive solutions for nonlinear nonhomogeneous parametric Robin problems
• On the stationary solutions of generalized reaction diffusion equations with \(p\)\& \(q\)-Laplacian
• Positive solutions to a Dirichlet problem with \(p\)-Laplacian and concave-convex nonlinearity depending on a parameter
• Mixed elliptic problems involving the \(p\)-Laplacian with nonhomogeneous boundary conditions
• A pair of positive solutions for the Dirichlet \(p(z)\)-Laplacian with concave and convex nonlinearities
• Multiple solutions with precise sign for nonlinear parametric Robin problems
• Multiple Solutions to (p,q)-Laplacian Problems with Resonant Concave Nonlinearity
• Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
• Soliton Like Solutions of a Lorentz Invariant Equation in Dimension 3
• 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
• Resonant nonlinear Neumann problems with indefinite weight
• Nodal Solutions for Neumann Problems with a Nonhomogeneous Differential Operator
• Degree theory for operators of monotone type and nonlinear elliptic equations with inequality constraints

This page was built for publication: Positive solutions for resonant \((p, q)\)-equations with concave terms