On variational inequalities with maximal monotone operators and multivalued perturbing terms in Sobolev spaces with variable exponents

DOI10.1016/j.jmaa.2011.09.058zbMath1234.47046OpenAlexW2083171628MaRDI QIDQ663619

Vy Khoi Le

Publication date: 27 February 2012

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.09.058

zbMATH Keywords

sensitivitystabilityvariational inequalitiesordinary differential operatorsmonotone operatorsnonlinear operators

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Sensitivity, stability, parametric optimization (90C31) Monotone operators and generalizations (47H05) General theory of ordinary differential operators (47E05)

Related Items (10)

On the convergence of solutions of inclusions containing maximal monotone and generalized pseudomonotone mappings ⋮ Noncoercive perturbed densely defined operators and application to parabolic problems ⋮ On the solvability of inclusions with multivalued compact perturbations of bi-mappings ⋮ Existence of solutions for inclusion problems in Musielak-Orlicz-Sobolev space setting ⋮ On variational inequalities with multivalued perturbing terms depending on gradients ⋮ Variational inequalities with multivalued lower order terms and convex functionals in Orlicz-Sobolev spaces ⋮ On the existence of solutions of variational inequalities in nonreflexive Banach spaces ⋮ Existence results for quasi-variational inequalities with multivalued perturbations of maximal monotone mappings ⋮ Multiple solutions to a class of \(p(x)\)-biharmonic differential inclusion problem with no-flux boundary condition ⋮ Elliptic inequalities with multi-valued operators: existence, comparison and related variational-hemivariational type inequalities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sub-supersolution method in variational inequalities with multivalued operators given by integrals
• Existence and multiplicity of solutions for quasilinear nonhomogeneous problems: an Orlicz-Sobolev space setting
• On the sub-supersolution method for \(p(x)\)-Laplacian equations
• On a sub-supersolution method for variational inequalities with Leray-Lions operators in variable exponent spaces
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Remarks on Ricceri's variational principle and applications to the \(p(x)\)-Laplacian equations
• Eigenvalues of the \(p(x)\)-Laplacian Steklov problem
• Eigenvalue problems for anisotropic quasilinear elliptic equations with variable exponent
• Existence of solutions for \(p(x)\)-Laplacian problems on a bounded domain
• Nonlinear mappings of monotone type in Banach spaces
• A range and existence theorem for pseudomonotone perturbations of maximal monotone operators
• Variational Inequalities with General Multivalued Lower Order Terms Given by Integrals
• EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR AN ELLIPTIC EQUATION WITH $p(x)$-GROWTH CONDITIONS
• On a sub-supersolution method for the prescribed mean curvature problem
• Nonlinear hemivariational inequalities of second order using the method of upper-lower solutions
• Variable Exponent, Linear Growth Functionals in Image Restoration
• A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids
• Set-valued analysis
• Subsolution-supersolution method in variational inequalities
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

This page was built for publication: On variational inequalities with maximal monotone operators and multivalued perturbing terms in Sobolev spaces with variable exponents