On an existence result for a class of \((p,q)\)-gradient elliptic systems via a fibering method

DOI10.1016/j.na.2012.06.007zbMath1259.35080OpenAlexW1969846636MaRDI QIDQ448509

Jean Velin

Publication date: 6 September 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.06.007

zbMATH Keywords

multiplicitycritical point\((p,q)\)-systemconditional critical pointfibering methodgradient elliptic system

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Variational methods for elliptic systems (35J50) Variational methods for second-order elliptic equations (35J20) Variational methods for higher-order elliptic equations (35J35)

Related Items (4)

POSITIVE GROUND STATES FOR A CLASS OF SUPERLINEAR -LAPLACIAN COUPLED SYSTEMS INVOLVING SCHRÖDINGER EQUATIONS ⋮ The (p,q)-elliptic systems with concave-convex nonlinearities ⋮ Maximal existence domains of positive solutions for two-parametric systems of elliptic equations ⋮ Existence of continuous eigenvalues for a class of parametric problems involving the \((p,2)\)-Laplacian operator

Cites Work

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• A CRITERION FOR EXISTENCE OF A POSITIVE SOLUTION OF A NONLINEAR ELLIPTIC SYSTEM
• Existence and Uniquenss of Positive Solutions for Certain Quasilinear Elliptic Systems
• Positive solutions for the p-Laplacian: application of the fibrering method

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