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Well-posed variational inequalities
Journal of Applied Mathematics and Computing, 2003In this paper, the author introduces the concept of well-posedness for a class of general variational inequalities and proves some basic results in Hilbert spaces. As applications, some results for a class of quasi-variational inequalities are derived.
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Mixed quasi variational inequalities
Applied Mathematics and Computation, 2003The author studies the ``mixed quasi variational inequality problem'', that is, the problem of finding \(u\in H\) such that for all \(v\in H\), \[ \langle T(u),v-u\rangle+\varphi(v,u)-\varphi(u,u)\geq0, \] where \(H\) is a Hilbert space, \(T:H\rightarrow H\) is a non-linear operator and \(\varphi:H\times H\rightarrow\mathbb{R}\cup\{+\infty\}\) is a ...
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Partitionable Mixed Variational Inequalities
2005Two recent papers [1] and [2] have presented existence and uniqueness results for solutions of mixed variational inequality problems involving P-mappings and convex and separable but not necessarily differentiable functions where the feasible set is defined by box type constraints.
ALLEVI, Elisabetta +3 more
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Generalized variational inequalities and generalized quasi-variational inequalities
Applied Mathematics and Mechanics, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Quasimonotone Variational Inequalities
Journal of Optimization Theory and Applications, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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G-Convergence for elliptic equations, variational inequalities and quasi-variational inequalities
Rendiconti del Seminario Matematico e Fisico di Milano, 1977We 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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Communications on Pure and Applied Mathematics, 1967
Lions, J. L., Stampacchia, G.
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Lions, J. L., Stampacchia, G.
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Variational inequalities and rearrangements
1992Summary: 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 +2 more
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