Competing anisotropic and Finsler \((p,q)\)-Laplacian problems

IF 1.7 4区数学 Q1 Mathematics

Boundary Value Problems Pub Date : 2024-03-25 DOI:10.1186/s13661-024-01847-1

Dumitru Motreanu, Abdolrahman Razani

引用次数: 0

Abstract

The aim of this paper is to prove the existence of generalized variational solutions for nonlinear Dirichlet problems driven by anisotropic and Finsler Laplacian competing operators. The main difficulty consists in the lack of ellipticity and monotonicity in the principal part of the equations. This difficulty is overcome by developing a Galerkin-type procedure.

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竞争性各向异性和芬斯勒（（p,q））-拉普拉卡问题

本文旨在证明由各向异性和芬斯勒拉普拉斯竞争算子驱动的非线性德里赫特问题的广义变分解的存在性。主要困难在于方程的主要部分缺乏椭圆性和单调性。通过开发 Galerkin 类型的程序克服了这一困难。

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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来源期刊

Boundary Value Problems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

4 months

期刊介绍： The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.