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Weak solvability for Dirichlet partial differential inclusions in Orlicz-Sobolev spaces - MaRDI portal

Weak solvability for Dirichlet partial differential inclusions in Orlicz-Sobolev spaces (Q1640552)

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scientific article; zbMATH DE number 6889036
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Weak solvability for Dirichlet partial differential inclusions in Orlicz-Sobolev spaces
scientific article; zbMATH DE number 6889036

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    Weak solvability for Dirichlet partial differential inclusions in Orlicz-Sobolev spaces (English)
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    14 June 2018
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    This paper establishes some existence results for a class of Dirichlet partial differential inclusions in Orlicz-Sobolev spaces. The authors give some sufficient conditions for the existence of at least two nontrivial weak solutions. A key role in the arguments is played by a nonsmooth version of the mountain pass theorem.
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    partial differential inclusion
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    Orlicz-Sobolev space
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