Results 21 to 30 of about 966 (137)
Existence for a quasistatic variational-hemivariational inequality
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Peng, Zijia, Ma, Cuiming, Liu, Zhonghui
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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
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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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On a Type of Hyperbolic Variational–Hemivariational Inequalities [PDF]
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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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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A class of hyperbolic variational–hemivariational inequalities without damping terms
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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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 and comparison principles for general quasilinear variational–hemivariational inequalities [PDF]
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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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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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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