具有l1数据的多值齐次Neumann问题重整解的存在唯一性

Gulf Journal of Mathematics Pub Date : 2022-09-16 DOI:10.56947/gjom.v13i2.590

Arouna Ouédraogo, Tiyamba Valea

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引用次数: 1

摘要

本文讨论了具有齐次Neumann边界条件和L1 -数据的非线性多值椭圆型问题β(u)-div a(x, Du)∈f的重整化解的存在唯一性。函数设置涉及可变指数的Lebesgue和Sobolev空间。一些先验估计被用来获得我们的结果。

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Existence and uniqueness of renormalized solution to multivalued homogeneous Neumann problem with L1-data

In this paper, we discuss the existence and uniqueness of renormalized solution to nonlinear multivalued elliptic problem β(u)-div a(x, Du) ∈ f with homogeneous Neumann boundary conditions and L1 -data. The functional setting involves Lebesgue and Sobolev spaces with variable exponent. Some a-priori estimates are used to obtain our results.

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Gulf Journal of Mathematics

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