带下阶项和哈代势的奇异 p(x)- 拉普拉斯方程

The Journal of Geometric Analysis Pub Date : 2024-09-17 DOI:10.1007/s12220-024-01790-8

Aicha Benguetaib, Hichem Khelifi, Karima Ait-Mahiout

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引用次数: 0

摘要

本文研究的是一个非线性椭圆方程，该方程包含哈代势、低阶项、奇异项和（L^{m(\cdot )} ）数据。我们的方法基于用一个摆好的非奇异问题来逼近初始问题。然后，我们建立必要的估计值，以达到极限。

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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Singular p(x)-Laplace Equations with Lower-Order Terms and a Hardy Potential

The present paper is concerned by the study of a nonlinear elliptic equation which contains a Hardy potential, lower order term, singular term and \(L^{m(\cdot )} \) data. Our approach is based on approximating the initial problem with a non-singular problem that is well-posed. We then establish the necessary estimates to pass to the limit.

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The Journal of Geometric Analysis

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