Topological degree for \((S)_{+}\)-mappings with maximal monotone perturbations and its applications to variational inequalities

DOI10.1016/j.na.2004.07.007zbMath1082.47050OpenAlexW2072300107MaRDI QIDQ1887980

Jun Kobayashi, Mitsuharu Ôtani

Publication date: 22 November 2004

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.2004.07.007

zbMATH Keywords

elliptic variational inequalitiesmaximal monotone operatorstopological degreesubdifferential operatorsmapping of class \((S)_+\)local minimizer of non-smooth functional

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Monotone operators and generalizations (47H05) Degree theory for nonlinear operators (47H11)

Related Items (13)

A degree theory for compact perturbations of monotone type operators and application to nonlinear parabolic problem ⋮ Noncoercive perturbed densely defined operators and application to parabolic problems ⋮ A new topological degree theory for pseudomonotone perturbations of the sum of two maximal monotone operators and applications ⋮ A variational inequality theory for constrained problems in reflexive Banach spaces ⋮ On the uniqueness of the Browder degree ⋮ New surjectivity results for perturbed weakly coercive operators of monotone type in reflexive Banach spaces ⋮ A new topological degree theory for perturbations of demicontinuous operators and applications to nonlinear equations with nonmonotone nonlinearities ⋮ On the degree theory for general mappings of monotone type ⋮ A topological degree theory for perturbed \(\mathcal{A}_G(S_+)\)-operators and applications to nonlinear problems ⋮ A new topological degree theory for perturbations of the sum of two maximal monotone operators ⋮ On Variational Inequalities Involving Mappings of Type (S) ⋮ Variational inequalities for perturbations of maximal monotone operators in reflexive Banach spaces ⋮ The Leray-Schauder approach to the degree theory for \((S_+)\)-perturbations of maximal monotone operators in separable reflexive Banach spaces

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