Orlicz空间中一类具有梯度约束的非线性不等式

Q3 Mathematics Moroccan Journal of Pure and Applied Analysis Pub Date : 2020-10-10 DOI:10.2478/mjpaa-2020-0022

S. Ajagjal, D. Meskine

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引用次数: 1

摘要

摘要本文证明了一些形式为〈Au+g（x，u，Şu），v−u〉≥〈f，v−u〉的非线性不等式的解的存在性，这些不等式具有依赖于解本身的梯度约束，其中A是Orlicz空间上定义的Leray Lions算子，g是非线性的，f∈L1。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Some class of nonlinear inequalities with gradient constraints in Orlicz spaces

Abstract In the present paper, we show the existence of solutions of some nonlinear inequalities of the form 〈Au + g(x, u,∇ u), v −u〉 ≥〈 f, v −u〉 with gradient constraint that depend on the solution itself, where A is a Leray-Lions operator defined on Orlicz spaces, g is a nonlinearity and f ∈ L1.

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