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

Aicha Benguetaib, Hichem Khelifi, Karima Ait-Mahiout
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Abstract

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.

带下阶项和哈代势的奇异 p(x)- 拉普拉斯方程
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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