Positive solutions for a class of singular (p, q)-equations

IF 3.2 1区数学 Q1 MATHEMATICS Advances in Nonlinear Analysis Pub Date : 2023-01-01 DOI:10.1515/anona-2022-0300

S. Leonardi, Nikolaos S. Papageorgiou

引用次数: 1

Abstract

Abstract We consider a nonlinear singular Dirichlet problem driven by the ( p , q ) \left(p,q) -Laplacian and a reaction where the singular term u − η {u}^{-\eta } is multiplied by a strictly positive Carathéodory function f ( z , u ) f\left(z,u) . By using a topological approach, based on the Leray-Schauder alternative principle, we show the existence of a smooth positive solution.

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一类奇异(p, q)方程的正解

摘要考虑由(p,q) \左(p,q) -拉普拉斯算子驱动的非线性奇异Dirichlet问题，以及奇异项u−η {u}^{-\eta}乘以严格正的carathacemoory函数f (z,u) f\左(z,u)的反应。利用拓扑方法，基于Leray-Schauder交替原理，证明了光滑正解的存在性。

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

Advances in Nonlinear Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

6.00

自引率

9.50%

发文量

审稿时长

30 weeks

期刊介绍： Advances in Nonlinear Analysis (ANONA) aims to publish selected research contributions devoted to nonlinear problems coming from different areas, with particular reference to those introducing new techniques capable of solving a wide range of problems. The Journal focuses on papers that address significant problems in pure and applied nonlinear analysis. ANONA seeks to present the most significant advances in this field to a wide readership, including researchers and graduate students in mathematics, physics, and engineering.