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- W3193673953 abstract "Purpose In the present paper, the authors will discuss the solvability of a class of nonlinear anisotropic elliptic problems ( P ), with the presence of a lower-order term and a non-polynomial growth which does not satisfy any sign condition which is described by an N -uplet of N -functions satisfying the Δ 2 -condition, within the fulfilling of anisotropic Sobolev-Orlicz space. In addition, the resulting analysis requires the development of some new aspects of the theory in this field. The source term is merely integrable. Design/methodology/approach An approximation procedure and some priori estimates are used to solve the problem. Findings The authors prove the existence of entropy solutions to unilateral problem in the framework of anisotropic Sobolev-Orlicz space with bounded domain. The resulting analysis requires the development of some new aspects of the theory in this field. Originality/value To the best of the authors’ knowledge, this is the first paper that investigates the existence of entropy solutions to unilateral problem in the framework of anisotropic Sobolev-Orlicz space with bounded domain." @default.
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- W3193673953 date "2021-08-18" @default.
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- W3193673953 title "On some nonlinear anisotropic elliptic equations in anisotropic Orlicz space" @default.
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- W3193673953 doi "https://doi.org/10.1108/ajms-12-2020-0133" @default.
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