Results 21 to 30 of about 128 (114)
On a Type of Hyperbolic Variational–Hemivariational Inequalities [PDF]
Journal of Applied Analysis, 1999 The authors consider the second-order initial value problem \[ u''(t) + Au(t) + \partial \psi(u(t)) + \chi(t) \ni f(t), \qquad 0 \leq t \leq T, \] \[ \chi(t) \in U^*(\partial_c j (Uu(t))), \quad 0 \leq t \leq T, \qquad u(0) = u_0, \quad u'(0) = u_1, \] where \(A : V \to V^*\) is selfadjoint and coercive (\(V\) compactly imbedded in \(H = L^2(\Omega ...
Panagiotopoulos, P. D., Pop, G.
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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
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Fixed Point Theory and Algorithms for Sciences and Engineering, 2022 This paper starts off by the celebrated Knaster–Kuratowski–Mazurkiewicz principle in the formulation by Ky Fan. We provide a novel variant of this principle and build an existence theory for extended real-valued equilibrium problems with general, then ...
Joachim Gwinner
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A class of hyperbolic variational–hemivariational inequalities without damping terms
Advances in Nonlinear Analysis, 2022 In this article, we study a large class of evolutionary variational–hemivariational inequalities of hyperbolic type without damping terms, in which the functional framework is considered in an evolution triple of spaces.
Zeng Shengda +2 more
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Partial differential hemivariational inequalities
Advances in Nonlinear Analysis, 2018 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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Nonlocal elliptic variational-hemivariational inequalities
Journal of Integral Equations and Applications, 2020 The paper provides an existence result for a variational-hemivariational inequality involving the nonlocal Laplace operator.
Migórski, Stanisław +2 more
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On variational-hemivariational inequalities with nonconvex constraints [PDF]
Journal of Nonlinear and Variational Analysis, 2021 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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Existence of long‐time solutions to dynamic problems of viscoelasticity with rate‐and‐state friction
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 99, Issue 11, November 2019., 2019 Abstract We establish existence of global solutions to a dynamic problem of bilateral contact between a rigid surface and a viscoelastic body, subject to rate‐and‐state friction. The term rate‐and‐state friction describes friction laws where the friction is rate‐dependent and depends on an additional internal state variable defined on the contact ...
Elias Pipping
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Noncoercive Perturbed Densely Defined Operators and Application to Parabolic Problems
Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015 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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Minimization arguments in analysis of variational–hemivariational inequalities
Zeitschrift für angewandte Mathematik und Physik, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mircea Sofonea, Weimin Han
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