A Parametric Dirichlet Problem for Systems of Quasilinear Elliptic Equations With Gradient Dependence

DOI10.1080/01630563.2016.1219866zbMath1366.35032OpenAlexW2546872429MaRDI QIDQ2964204

Calogero Vetro, Motreanu, Dumitru, Francesca Vetro

Publication date: 23 February 2017

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2016.1219866

zbMATH Keywords

Dirichlet problem\((p,q)\)-Laplaciansystems of elliptic equations

Mathematics Subject Classification ID

Quasilinear elliptic equations (35J62) Higher-order elliptic systems (35J48)

Related Items (12)

Homoclinic solutions of nonlinear Laplacian difference equations without Ambrosetti-Rabinowitz condition ⋮ Inclusion problems via subsolution–supersolution method with applications to hemivariational inequalities ⋮ Existence and uniqueness of elliptic systems with double phase operators and convection terms ⋮ Systems of quasilinear elliptic equations with dependence on the gradient via subsolution-supersolution method ⋮ Systems of Kirchhoff type equations with gradient dependence in the reaction term via subsolution-supersolution method ⋮ Double phase systems with convex-concave nonlinearity on complete manifold ⋮ The effects of convolution and gradient dependence on a parametric Dirichlet problem ⋮ A note on homoclinic solutions of (p,q)-Laplacian difference equations ⋮ Superlinear (p(z), q(z))-equations ⋮ Existence of positive solutions for nonlinear Robin problems with gradient dependence ⋮ Weak solution for Neumann \((p,q)\)-Laplacian problem on Riemannian manifold ⋮ Weak solutions for a (p(z),q(z))-Laplacian Dirichlet problem

Cites Work

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• Wang’s multiplicity result for superlinear $(p,q)$–equations without the Ambrosetti–Rabinowitz condition
• Existence and asymptotic properties for quasilinear elliptic equations with gradient dependence

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