Strongly resonant elliptic variational inequalities with discontinuous nonlinearities (Q881246)

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scientific article; zbMATH DE number 5155809
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Strongly resonant elliptic variational inequalities with discontinuous nonlinearities
scientific article; zbMATH DE number 5155809

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    Strongly resonant elliptic variational inequalities with discontinuous nonlinearities (English)
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    22 May 2007
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    The authors replace initial variational inequality under consideration with a resonant elliptic boundary value problem. Each strong solution of the latter satisfies initial variational inequality. They construct approximating problems, whose solvability is obtained by the variational technique, and prove the convergence of solutions of approximating equations to a solution of the original one.
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    variational inequality
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    discontinuous nonlinearity
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    approximating problem
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