一类奇异(p, q)方程的正解

IF 4.3 3区材料科学 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC

ACS Applied Electronic Materials Pub Date : 2023-01-01 DOI:10.1515/anona-2022-0300

S. Leonardi, Nikolaos S. Papageorgiou

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引用次数: 1

摘要

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。

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

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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来源期刊

ACS Applied Electronic Materials Multiple-

CiteScore

7.20

自引率

4.30%

发文量

567