加权索波列夫空间上的非线性椭圆方程

IF 0.6 4区数学 Q3 MATHEMATICS Mathematical Notes 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。

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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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来源期刊

Mathematical Notes 数学-数学

CiteScore

0.90

自引率

16.70%

发文量

179

审稿时长

24 months

期刊介绍： Mathematical Notes is a journal that publishes research papers and review articles in modern algebra, geometry and number theory, functional analysis, logic, set and measure theory, topology, probability and stochastics, differential and noncommutative geometry, operator and group theory, asymptotic and approximation methods, mathematical finance, linear and nonlinear equations, ergodic and spectral theory, operator algebras, and other related theoretical fields. It also presents rigorous results in mathematical physics.