Positive Solutions for Resonant (p, q)-equations with convection-Reference-Cited by-同舟云学术

Positive Solutions for Resonant (p, q)-equations with convection

Published:2020-07-17 Issue:1 Volume:10 Page:217-232
ISSN:2191-950X
Container-title:Advances in Nonlinear Analysis
language:en
Short-container-title:

Author:

Liu Zhenhai¹²,Papageorgiou Nikolaos S.³

Affiliation:

1. Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing , Yulin Normal University , Yulin 537000 , P.R. China

2. Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis , Guangxi University for Nationalities , Nanning , Guangxi , 530006 , P.R. China

3. Department of Mathematics , National Technical University , Zografou Campus, 15780 Athens , Greece

Abstract

Abstract We consider a nonlinear parametric Dirichlet problem driven by the (p, q)-Laplacian (double phase problem) with a reaction exhibiting the competing effects of three different terms. A parametric one consisting of the sum of a singular term and of a drift term (convection) and of a nonparametric perturbation which is resonant. Using the frozen variable method and eventually a fixed point argument based on an iterative asymptotic process, we show that the problem has a positive smooth solution.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anona-2020-0108/pdf

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