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• W4361766020 abstract "In this paper, we investigate the existence of a ?weak solutions? for a Neumann problems of p(x)-Laplacian-like operators, originated from a capillary phenomena, of the following form {?div( |?u|p(x)?2?u + |?u|2p(x)?2?u /?1 + |?u|2p(x))= ?f (x, u,?u) in ?,(|?u|p(x)?2?u + |?u|2p(x)?2 ?u/ ?|?u|2p(x)) ?u/?? = 0 on ??, in the setting of the variable-exponent Sobolev spaces W1,p(x)(?), where ? is a smooth bounded domain in RN, p(x) ? C+(??) and ? is a real parameter. Based on the topological degree for a class of demicontinuous operators of generalized (S+) type and the theory of variable-exponent Sobolev spaces, we obtain a result on the existence of weak solutions to the considered problem." @default.
• W4361766020 created "2023-04-04" @default.
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• W4361766020 date "2022-01-01" @default.
• W4361766020 modified "2023-10-14" @default.
• W4361766020 title "p(x)-Laplacian-like Neumann problems in variable-exponent Sobolev spaces via topological degree methods" @default.
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• W4361766020 doi "https://doi.org/10.2298/fil2217973e" @default.
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