On a Dirichlet problem with \((p,q)\)-Laplacian and parametric concave-convex nonlinearity

DOI10.1016/j.jmaa.2019.03.006zbMath1422.35095arXiv1812.08055OpenAlexW2904562516WikidataQ128248859 ScholiaQ128248859MaRDI QIDQ2633782

Nikolaos S. Papageorgiou, Greta Marino, Salvatore A. Marano

Publication date: 10 May 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.08055

zbMATH Keywords

positive solutions\((p,q)\)-Laplacianbifurcation-type theoremconcave-convex nonlinearity

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (17)

Singular (p,q)-equations with competing perturbations ⋮ The behavior of solutions of a parametric weighted \((p, q)\)-Laplacian equation ⋮ Anisotropic \((p, q)\)-equations with competition phenomena ⋮ Constant sign and nodal solutions for superlinear \((p, q)\)-equations with indefinite potential and a concave boundary term ⋮ Parametric anisotropic \((p, q)\)-Neumann problems ⋮ Positive solutions for a class of nonlinear parametric Robin problems ⋮ Existence of solutions for supercritical \((p, 2)\)-Laplace equations ⋮ Singular elliptic problems with unbalanced growth and critical exponent ⋮ Global multiplicity of positive solutions for nonlinear Robin problems with an indefinite potential term ⋮ Multiplicity results for \((p, q)\)-Laplacian equations with critical exponent in \(\mathbb{R}^N\) and negative energy ⋮ \((p, q)\)-equations with singular and concave convex nonlinearities ⋮ Unbalanced \((p,2)\)-fractional problems with critical growth ⋮ On the set of positive solutions for resonant Robin \((p, q)\)-equations ⋮ Singular (p, q)-equations with superlinear reaction and concave boundary condition ⋮ Topological properties of the solution sets for parametric nonlinear Dirichlet problems ⋮ Positive solutions for double phase problems with combined nonlinearities ⋮ On symmetric solutions for \((p, q)\)-Laplacian equations in \(\mathbb{R}^N\) with critical terms

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