Results 101 to 110 of about 150 (124)

Noncoercive variational inequalities for pseudomonotone operators

Rendiconti del Seminario Matematico e Fisico di Milano, 1991
Elliptic variational inequalities of the form \[ \langle Au, u- v\rangle+ j(u)\leq j(v)\qquad \forall v\in V\tag{1} \] have been widely considered in the literature in the coercive case, that is when the mapping \(u\mapsto \langle Au, u\rangle+ j(u)\) has a superlinear growth as \(\| u\|\to +\infty\). Here \(V\) is a reflexive separable Banach space, \(
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Differential-Operator Inclusions with $$W_{\lambda_0}$$ -Pseudomonotone Maps

2010
In this chapter differential-operator inclusions with non-coercive maps of the Volterra type are studied qualitative and constructively. Such objects describe new mathematical models of non-linear geophysical processes and fields, in particular, piezoelectric processes which require the developing of corresponding non-coercive theory and high-precision
Mikhail Z. Zgurovsky, Valery S. Mel’nik, Pavlo O. Kasyanov   +2 more
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Convergence Analysis of Iterative Methods for Some Variational Inequalities with Pseudomonotone Operators

Differential Equations, 2001
The authors consider variational inequalities of the second kind with a pseudomonotone operator and a convex nondifferentiable functional in Banach spaces. A two-layer iterative method is proposed for solvability, which reduces the original variational inequality to one with a duality operator that has better properties than the original operator.
Badriev, I. B., Zadvornov, O. A., Saddek, A. M.   +2 more
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A new iterative method for solving pseudomonotone variational inequalities with non-Lipschitz operators

Computational and Applied Mathematics, 2020
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Duong Viet Thong, Yekini Shehu, Olaniyi Samuel Iyiola   +2 more
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Differential-operator inclusions and multivariational inequalities with pseudomonotone mappings

Cybernetics and Systems Analysis, 2010
The author investigates functional-topological properties of resolving operators of differential inclusions and multi-variational inequalities with quasi-monotone mappings.
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Homogenization of variational inequalities and equations defined by pseudomonotone operators

Sbornik: Mathematics, 2008
Results on the convergence of sequences of solutions of non-linear equations and variational inequalities for obstacle problems are proved. The variational inequalities and equations are defined by a non-linear, pseudomonotone operator of the second order with periodic, rapidly oscillating coefficients and by sequences of functions characterizing the ...
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Pseudomonotone diagonal subdifferential operators

2013
Summary: Let \(f\) be an equilibrium bifunction defined on the product space \(\mathbb X\times \mathbb X\), where \(\mathbb X\) is a Banach space. If \(f\) is locally Lipschitz with respect to the second variable, for every \(x\in \mathbb X\) we define \(T_f(x)\) as the Clarke subdifferential of \(f(x,\cdot)\) evaluated at \(x\).
CASTELLANI, MARCO, GIULI, MASSIMILIANO
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Pseudomonotone Operators, Bifurcation, and the von Kármán Plate Equations

1988
In this chapter we consider a plate which is clamped at the boundary. Our method of proof, however, can also be applied to other boundary conditions. We use the following tools: (I) Implicit function theorem (Theorem 4.B). (P) Main theorem about pseudomonotone operators (Theorem 27.A).
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Multivalued dynamics of solutions of an autonomous differential-operator inclusion with pseudomonotone nonlinearity

Cybernetics and Systems Analysis, 2011
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Multivalued dynamics of solutions of autonomous operator differential equations with pseudomonotone nonlinearity

Mathematical Notes, 2012
A nonlinear evolution equation of the form \[ y'(t)+A(y(t))=f \] is considered for an evolutionary triple \(V\Subset H\equiv H^*\subset V^*\), where \(V\) is a reflexive separable Banach space, and \(H\) is Hilbert space. It is assumed that the nonlinear operator \(A:V\to V^*\) is pseudomonotone and satisfies certain dissipation and power growth ...
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