Nonlinear versions of Stampacchia and Lax-Milgram theorems and applications to \(p\)-Laplace equations

DOI10.1016/j.na.2006.11.048zbMath1135.49006OpenAlexW2162949653MaRDI QIDQ2470084

Duong Minh Duc, Le Long Phi, Nguyen Hoang Loc

Publication date: 13 February 2008

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.2006.11.048

zbMATH Keywords

nontrivial solution\(p\)-Laplacianpseudo-\(p\)-LaplacianLax-Milgram theoremnon-uniform elliptic problemsStampacchia theorem

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

Related Items (2)

Uniform convexity, uniform monotonicity and \((\phi,c)\)-subdifferentiability with application to nonlinear PDE ⋮ Functional inequalities motivated by the Lax-Milgram theorem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonuniformly elliptic equations of \(p\)-Laplacian type
• On boundary value problems for degenerate quasilinear elliptic equations and inequalities
• Existence and multiplicity results for Dirichlet problems with \(p\)-Laplacian.
• Mountain pass solutions to equations of \(p\)-Laplacian type.
• Linking and existence results for perturbations of the \(p\)-Laplacian
• EXISTENCE OF SOLUTIONS FOR ASYMPTOTICALLY ‘LINEAR’ ${p}$-LAPLACIAN EQUATIONS
• Lagrange multipliers for functions derivable along directions in a linear subspace
• Equivalent Norms for Sobolev Spaces
• Some existence results for a class of nonlinear equations involving a duality mapping
• Variational and topological methods for Dirichlet problems with \(p\)-Laplacian

This page was built for publication: Nonlinear versions of Stampacchia and Lax-Milgram theorems and applications to \(p\)-Laplace equations