Results 191 to 200 of about 600,154 (231)

On Some Noncoercive Variational Inequalities

Ukrainian Mathematical Journal, 2001
The authors study existence and regularity of solutions of two variational inequalities. The first one has the form: \[ \sum_{k=1}^{2}\sum_{i,j=1}^{n}\int_{\Omega_k}a_{ij}^k(u_k)'_{x_i} (v_k-u_k)'_{x_j}+\int_{\Omega_1}au_1(v_1-u_1) dx\geq \sum_{k=1}^{k}\langle f_k,v_k-u_k\rangle_k \quad \forall(v_1,v_2)\in K. \] Here \(\Omega_1,\Omega_2\) are such open
A. GALLO, PICCIRILLO, Anna Maria, L. TOSCANO   +2 more
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Solving Fuzzy Variational Inequalities

Fuzzy Optimization and Decision Making, 2002
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Shu-Cherng Fang, Cheng-Feng Hu
openaire   +1 more source

On Generalized Variational Inequalities

2007
In this paper we illustrate the connections between generalized variational inequalities (GVI) and other mathematical models: optimization, complementarity, inclusions, dynamical systems. In particular, we analyse relationships between existence theorems of solutions of GVI and existence theorems of equilibrium points of inclusions and projected ...
PAPPALARDO, MASSIMO, PANICUCCI B.
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On Continuation for Variational Inequalities

SIAM Journal on Numerical Analysis, 1987
A predictor-corrector type method for the continuation along solution branches of nonlinear variational inequalities of the form \(a(u_ 0,u- u_ 0)\geq \lambda_ 0(F(u_ 0),u-u_ 0)\) is presented. On the basis of recent analytical results and previous work of the author this method is proposed for a class of obstacle problems. Numerical results are given.
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Convergences for variational inequalities and generalized variational inequalities

1997
Summary: Let \(E\) be a topological vector space and consider, for any \(n\in\mathbb{N}\), the variational inequality: find \(u\in E\) such that \(f_n(u,w)+ \phi_n(u)\leq\phi_n(w)\) for any \(w\in E\), where \(f_n: E\to\mathbb{R}\) and \(\phi_n: E\to\mathbb{R}\cup\{+\infty\}\).
LIGNOLA, MARIA BEATRICE, MORGAN, JACQUELINE   +1 more
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On Quasimonotone Variational Inequalities

Journal of Optimization Theory and Applications, 1998
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Variational inequalities and rearrangements

1992
Summary: We give comparison results for solutions of variational inequalities, related to general elliptic second order operators, involving solutions of symmetrized problems, using Schwarz spherical symmetrization.
ALVINO, ANGELO, MATARASSO S., TROMBETTI, GUIDO   +2 more
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G-Convergence for elliptic equations, variational inequalities and quasi-variational inequalities

Rendiconti del Seminario Matematico e Fisico di Milano, 1977
We give a general view of the results recently obtained onG-convergence and homogeneisation for elliptic equations, variational inequalities and quasi-variational inequalities and quasi-variational inequalities.
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Solvability of the Minty Variational Inequality

Journal of Optimization Theory and Applications, 2017
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Variational Inequalities: an Elementary Approach

Journal of Global Optimization, 2004
Let \(M=(m_{ij})\) be an \(n \times n\) matrix with real entries such that \(m_{ij}+m_{ji} \geq 0\), \(i,j=1, \dots, n\). The author proves that the system of inequalities \(x \in {\mathbb R}^n\), \(x \geq 0\), \(Mx \geq 0\) has non--trivial solutions. Applications of the result to the theory of monotone variational inequalities are discussed.
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