Constrained Variational-Hemivariational Inequalities on Nonconvex Star-Shaped Sets
In this paper, we study a class of constrained variational-hemivariational inequality problems with nonconvex sets which are star-shaped with respect to a certain ball in a reflexive Banach space.
Stanisław Migórski, Long Fengzhen
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Rothe method and numerical analysis for history-dependent hemivariational inequalities with applications to contact mechanics [PDF]
In this paper an abstract evolutionary hemivariational inequality with a history-dependent operator is studied. First, a result on its unique solvability and solution regularity is proved by applying the Rothe method.
Migorski, Stanislaw, Zeng, Shengda
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In this paper, we consider the evolutionary Navier‐Stokes equations subject to the nonslip boundary condition together with a Clarke subdifferential relation between the dynamic pressure and the normal component of the velocity. Under the Rauch condition, we use the Galerkin approximation method and a weak precompactness criterion to ensure the ...
Hicham Mahdioui +3 more
wiley +1 more source
Evolutionary Oseen model for generalized Newtonian fluid with Multivalued Nonmonotone Friction Law [PDF]
The paper deals with the non-stationary Oseen system of equations for the generalized Newtonian incompressible fluid with multivalued and nonmonotone frictional slip boundary conditions.
Dudek, Sylwia, Migórski, Stanisław
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Existence result for hemivariational inequality involving p(x)-Laplacian [PDF]
In this paper we study the nonlinear elliptic problem with \(p(x)\)-Laplacian (hemivariational inequality).We prove the existence of a nontrivial solution.
Sylwia Barnaś
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Solvability of Conformable Type Frictionless Contact Problem via Hemivariational Inequalities
In this paper, we study a class of conformable frictionless contact problems with the surface traction driven by the conformable impulsive differential equation.
Jianwei Hao, Jinrong Wang, Jiangfeng Han
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Multiplicity of nontrivial solutions for elliptic equations with nonsmooth potential and resonance at higher eigenvalues [PDF]
We consider a semilinear elliptic equation with a nonsmooth, locally \hbox{Lipschitz} potential function (hemivariational inequality). Our hypotheses permit double resonance at infinity and at zero (double-double resonance situation).
Gasi'nski, Leszek +2 more
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Well-Posedness by Perturbations for Variational-Hemivariational Inequalities
We generalize the concept of well-posedness by perturbations for optimization problem to a class of variational-hemivariational inequalities. We establish some metric characterizations of the well-posedness by perturbations for the variational ...
Shu Lv +3 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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In this paper, we mainly consider a control system governed by a Hilfer fractional evolution hemivariational inequality with a nonlocal initial condition.
Yatian Pei, Yong-Kui Chang
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