加权索波列夫空间上的非线性椭圆方程

Pub Date : 2024-03-12 DOI:10.1134/s0001434623110603

Rupali Kumari, Rasmita Kar

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引用次数: 0

摘要

摘要本研究的主要目的是证明准线性椭圆边界值问题解的存在性。此外，我们还研究了解集的紧凑性、直接性以及解集中最小解和最大解的存在性。新颖之处主要在于对梯度和 Leray-Lions 算子的依赖性。我们在工作中使用了子上解技术。

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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Nonlinear Elliptic Equations on Weighted Sobolev Space

Abstract

The main objective of this work is to show the existence of solutions for quasilinear elliptic boundary value problem. In addition, we study compactness, directness of the solution set along with existence of smallest and biggest solutions in the set. The presence of dependence on the gradient and the Leray–Lions operator are the main novelties. We have used sub-supersolution technique in our work.

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