Advances in variational and hemivariational inequalities : theory, numerical analysis, and applications [PDF]
Highlighting recent advances in variational and hemivariational inequalities with an emphasis on theory, numerical analysis and applications, this volume serves as an indispensable resource to graduate students and researchers interested in the latest ...
Han, Weimin +2 more
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Partial differential hemivariational inequalities
The aim of this paper is to introduce and study a new class of problems called partial differential hemivariational inequalities that combines evolution equations and hemivariational inequalities.
Liu Zhenhai +2 more
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Existence and comparison principles for general quasilinear variational–hemivariational inequalities [PDF]
We consider quasilinear elliptic variational–hemivariational inequalities involving convex, lower semicontinuous and locally Lipschitz functionals. We provide a generalization of the fundamental notion of sub- and supersolutions on the basis of which we ...
Carl, S., Le, Vy K., Motreanu, D.
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Noncoercive Perturbed Densely Defined Operators and Application to Parabolic Problems
Let X be a real locally uniformly convex reflexive separable Banach space with locally uniformly convex dual space X∗. Let T:X⊇D(T)→2X∗ be maximal monotone and S : X⊇D(S) → X∗ quasibounded generalized pseudomonotone such that there exists a real reflexive separable Banach space W ⊂ D(S), dense and continuously embedded in X. Assume, further, that there
Teffera M. Asfaw, Naseer Shahzad
wiley +1 more source
This paper is devoted to the various coercivity conditions in order to guarantee existence of solutions and boundedness of the solution set for the variational‐hemivariational inequalities involving upper semicontinuous operators. The results presented in this paper generalize and improve some known results.
Guo-ji Tang +3 more
wiley +1 more source
Quasilinear elliptic inclusions of hemivariational type: Extremality and compactness of the solution set [PDF]
We consider the Dirichlet boundary value problem for an elliptic inclusion governed by a quasilinear elliptic operator of Leray–Lions type and a multivalued term which is given by the difference of Clarke's generalized gradient of some locally Lipschitz ...
S. Carl +13 more
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On the well-posedness of differential quasi-variational-hemivariational inequalities
The goal of this paper is to discuss the well-posedness and the generalized well-posedness of a new kind of differential quasi-variational-hemivariational inequality (DQHVI) in Hilbert spaces.
Cen Jinxia +3 more
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Minimization arguments in analysis of variational–hemivariational inequalities
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Mircea Sofonea, Weimin Han
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Hidden maximal monotonicity in evolutionary variational-hemivariational inequalities
In this paper, we propose a new methodology to study evolutionary variational-hemivariational inequalities based on the theory of evolution equations governed by maximal monotone operators. More precisely, the proposed approach, based on a hidden maximal
Emilio Vilches, Shengda Zeng
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Solvability of nonlinear variational–hemivariational inequalities
The paper presents an existence result for a homogeneous Dirichlet problem driven by the \(p\)-Laplacian and containing the difference of two multi-valued terms, one given by the generalized gradient of a locally Lipschitz functional and the other equal to the subdifferential of a convex, proper, lower semicontinuous functional.
Filippakis, Michael E. +1 more
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