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Identification of operators in systems governed by second order evolution inclusions with applications to hemivariational inequalities [PDF]

, 2012
Migórski, Stanisław
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Singular Perturbations of Variational-Hemivariational Inequalities

SIAM Journal on Mathematical Analysis, 2020
Let $V_i$, $i=0,1$, be a reflexive Banach space and $K_i$ be a closed and convex subset of $V_i$. It is assumed that $V_1$ is continuously and densely embedded in $V_0$, and $K_1$ is the closure of $K_0$ in $V_0$. Two operators $A_i:V_i\to V_i^*$ are introduced such that \[ \|A_i u-A_i v\|_{V_i^*}\leq L_i \|u-v\|_{V_i},\forall u,v\in V_i\,.
Weimin Han
exaly   +2 more sources

Well-posedness for a Class of Variational–Hemivariational Inequalities with Perturbations

Journal of Optimization Theory and Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yi-Bin Xiao, Nan-Jing Huang
exaly   +3 more sources

Semicoercive variational hemivariational inequalities

Journal of Global Optimization, 1995
The authors have introduced a concept of recession function associated to the Clarke generalized directional derivative of a locally Lipschitz function. Using this concept, some new necessary and sufficient conditions for the existence of a general hemivariational inequality problem are given.
Daniel Goeleven, Michel Théra
openaire   +2 more sources

On a class of nonlinear variational–hemivariational inequalities

Applicable Analysis, 2004
A three critical points theorem for nondifferentiable functions is pointed out and an existence result of multiple solutions for a Neumann elliptic variational–hemivariational inequality involving the p-laplacian is established. As an application, a Neumann problem for elliptic equations with discontinuous nonlinearities is studied.
BONANNO, Gabriele, CANDITO P.
openaire   +3 more sources

Existence theorems of the variational-hemivariational inequalities

Journal of Global Optimization, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo-ji Tang, Nan-Jing Huang
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Semicoercive variational hemivariational inequalities

Applicable Analysis, 1997
The aim of this paper is the study of semicoercive variational hemivariational inequalities. For this study the critical point theory of Ambrosetti, Rabinowitz and Szulkin has been extended for nonsmooth functionals. Moreover, a Saddle Point Theorem and a symmetric version of the Mountain Pass Theorem have been used.
D. Goeleven, D. Motreanu, P. D. Panagiotopoulos   +2 more
openaire   +1 more source

"A Fixed Point Approach of Variational-Hemivariational Inequalities"

Carpathian Journal of Mathematics, 2022
"In this paper we provide a new approach in the study of a variational-hemivariational inequal- ity in Hilbert space, based on the theory of maximal monotone operators and the Banach fixed point theorem. First, we introduce the inequality problem we are interested in, list the assumptions on the data and show that it is governed by a multivalued ...
HU, RONG, SOFONEA, MIRCEA, XIAO, YI-BIN
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Variational, Hemivariational and Variational-Hemivariational Inequalities: Existence Results

2003
The celebrated Hartman-Stampacchia theorem (see [6], Lemma 3.1, or [9], Theorem I.3.1) asserts that if V is a finite dimensional Banach space, K ⊂ V is non-empty, compact and convex, A : K → V* is continuous, then there exists u ∈ K such that, for every v ∈ K, $$\langle Au,v - u\rangle \geqslant 0.$$ (6.1)
D. Motreanu, V. Rădulescu
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Levitin–Polyak well-posedness of variational–hemivariational inequalities

Communications in Nonlinear Science and Numerical Simulation, 2022
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Rong Hu, Nan-jing Huang, Mircea Sofonea, Yi-bin Xiao   +3 more
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