On solvability of variational inequalities with discontinuous semimonotone operators |
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Authors: | V N Pavlenko |
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Institution: | (1) Chelyabinsk University, Chelyabinsk |
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Abstract: | By using the method of monotone operators, a theorem on the existence of the solution with a special property is obtained for an elliptic variational inequality with discontinuous semimonotone operator; this theorem is then used to prove the existence of a semicorrect solution of a variational inequality with a differential semilinear high-order operator of elliptic type with a nonsymmetric linear part and discontinuous nonlinearity.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 3, pp. 443–447, March, 1993. |
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