The Nehari manifold for a class of concave-convex elliptic systems involving the \(p\)-Laplacian and nonlinear boundary condition

DOI10.1016/j.na.2010.07.021zbMath1200.35103OpenAlexW2049077408MaRDI QIDQ708674

Ghasem Alizadeh Afrouzi, Sayyed Hashem Rasouli

Publication date: 14 October 2010

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.2010.07.021

zbMATH Keywords

critical pointsnonlinear boundary condition\(p\)-LaplacianNehari manifoldconcave-convex elliptic system

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for elliptic systems (35J50) Weak solutions to PDEs (35D30) Nonlinear boundary value problems for nonlinear elliptic equations (35J66) Boundary value problems for second-order elliptic systems (35J57)

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Cites Work

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