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Unilateral boundary value problems with jump discontinuities - MaRDI portal

Unilateral boundary value problems with jump discontinuities (Q1415072)

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scientific article; zbMATH DE number 2012529
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Unilateral boundary value problems with jump discontinuities
scientific article; zbMATH DE number 2012529

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    Unilateral boundary value problems with jump discontinuities (English)
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    3 December 2003
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    Summary: Using the critical point theory of Using a critical point theory of \textit{A. Szulkin} [Ann. Inst. H. Poincaré, Anal. Non Linéaire 3, no. 2, 77--109 (1986; Zbl 0612.58011)], we study elliptic problems with unilateral boundary conditions and discontinuous nonlinearities. We do not use the method of upper and lower solutions. We prove two existence theorems: one when the right-hand side is nondecreasing and another when it is nonincreasing.
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