Nonlinear Hemivariational Inequalities at Resonance [PDF]
Journal of Mathematical Analysis and Applications, 1999 In this paper we consider nonlinear hemivariational inequalities involving the p-Laplacian at resonance. We prove the existence of a nontrivial solution. Our approach is variational based on the critical point theory for nonsmooth, locally Lipschitz functionals due to Chang.
Gasiński, Leszek +1 more
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Rothe method and numerical analysis for history-dependent hemivariational inequalities with applications to contact mechanics [PDF]
, 2019 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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Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 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]
, 2018 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]
Opuscula Mathematica, 2012 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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Advances in variational and hemivariational inequalities : theory, numerical analysis, and applications [PDF]
, 2015 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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Well-Posedness by Perturbations for Variational-Hemivariational Inequalities
Journal of Applied Mathematics, 2012 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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Solvability of Conformable Type Frictionless Contact Problem via Hemivariational Inequalities
Axioms, 2022 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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Existence and comparison principles for general quasilinear variational–hemivariational inequalities [PDF]
, 2004 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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Nonlinear Analysis, 2019 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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