Nonlinear second order evolution inclusions with noncoercive viscosity term
In this paper we deal with a second order nonlinear evolution inclusion, with a nonmonotone, noncoercive viscosity term. Using a parabolic regularization (approximation) of the problem and {\it a priori} bounds that permit passing to the limit, we prove ...
Papageorgiou, Nikolaos S. +2 more
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Hemivariational inequalities in thermoviscoelasticity
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Denkowski, Zdzisław +1 more
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Nonhomogeneous Hemivariational Inequalities with Indefinite Potential and Robin Boundary Condition
We consider a nonlinear, nonhomogeneous Robin problem with an indefinite potential and a nonsmooth primitive in the reaction term. In fact, the right-hand side of the problem (reaction term) is the Clarke subdifferential of a locally Lipschitz integrand.
Papageorgiou, Nikolaos S. +2 more
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Infinitely many solutions for hemivariational inequalities involving the fractional Laplacian
In the paper, we consider the following hemivariational inequality problem involving the fractional Laplacian: {(−Δ)su+λu∈α(x)∂F(x,u)x∈Ω,u=0x∈RN∖Ω, $$ \textstyle\begin{cases} (-\Delta )^{s}u+\lambda u\in \alpha (x) \partial F(x,u) & x \in \varOmega ...
Lijing Xi, Yuying Zhou
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Elliptic variational hemivariational inequalities
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Numerical analysis of a non-clamped dynamic thermoviscoelastic contact problem
In this work we analyze a non-clamped dynamic viscoelastic contact problem involving thermal effect. The friction law is described by a nonmonotone relation between the tangential stress and the tangential velocity.
Bartman, Piotr +3 more
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Nonlocal elliptic hemivariational inequalities
Summary: This paper is devoted to the existence of solutions for the hemivariational inequalities involving fractional Laplace operator by means of the well-known surjectivity result for pseudomonotone mappings.
Liu, Zhenhai, Tan, Jinggang
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Existence results for nonlocal and nonsmooth hemivariational inequalities
We consider an elliptic hemivariational inequality with nonlocal nonlinearities. Assuming only certain growth conditions on the data, we are able to prove existence results for the problem under consideration.
Heikkilä S, Carl S
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Convergence of Rothe scheme for hemivariational inequalities of parabolic type
This article presents the convergence analysis of a sequence of piecewise constant and piecewise linear functions obtained by the Rothe method to the solution of the first order evolution partial differential inclusion $u'(t)+Au(t)+\iota^*\partial J ...
Kalita, Piotr
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System of partial differential hemivariational inequalities involving nonlocal boundary conditions
Let FPT, MNC, HVI, SEPDE, SMHVI, PGCDD, and NLBC represent the fixed point theorem, measure of noncompactness, hemivariational inequality, system of nonlinear evolutionary partial differential equations, system of mixed hemivariational inequalities ...
Ceng Lu-Chuan, Chen Boling, Yao Jen-Chih
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