On variational-hemivariational inequalities with nonconvex constraints [PDF]
In this paper the authors study the existence of solutions of a class of variational-hemivariational inequalities in which the set of admissible elements is star-shaped with respect to a ball and not necessarily convex. More precisely, given a reflexive Banach space \(V\), compactly embedded in a Hilbert space \(H\) via an embedding \(i:V\to H\), a non-
Chadli, Ouayl, Yao, Jen-Chih
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Nonlocal elliptic variational-hemivariational inequalities
The paper provides an existence result for a variational-hemivariational inequality involving the nonlocal Laplace operator.
Migórski, Stanisław +2 more
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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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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
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Analysis of Stokes system with solution-dependent subdifferential boundary conditions
We study the Stokes problem for the incompressible fluid with mixed nonlinear boundary conditions of subdifferential type. The latter involve a unilateral boundary condition, the Navier slip condition, a nonmonotone version of the nonlinear Navier–Fujita
Jing Zhao +2 more
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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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Approximate controllability for second order nonlinear evolution hemivariational inequalities [PDF]
The goal of this paper is to study approximate controllability for control systems driven by abstract second order nonlinear evolution hemivariational inequalities in Hilbert spaces.
Li, Xiuwen +2 more
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Minimization arguments in analysis of variational–hemivariational inequalities
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mircea Sofonea, Weimin Han
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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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Evolution of the Minimax Inequality of Ky Fan
There are quite a few generalizations or applications of the 1984 minimax inequality of Ky Fan compared with his original 1972 minimax inequality. In a certain sense, the relationship between the 1984 inequality and several hundreds of known generalizations of the original 1972 inequality has not been recognized for a long period.
Sehie Park, Ram U. Verma
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