Nonautonomous double‐phase equations with strong singularity and concave perturbation-Reference-Cited by-同舟云学术

Nonautonomous double‐phase equations with strong singularity and concave perturbation

Published:2024-02-05 Issue:4 Volume:56 Page:1245-1262
ISSN:0024-6093
Container-title:Bulletin of the London Mathematical Society
language:en
Short-container-title:Bulletin of London Math Soc

Author:

Papageorgiou Nikolaos S.¹²,Rădulescu Vicenţiu D.²³⁴⁵⁶^ORCID,Yuan Shuai²⁷

Affiliation:

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

2. Department of Mathematics University of Craiova Craiova Romania

3. Faculty of Applied Mathematics AGH University of Kraków Kraków Poland

4. Simion Stoilow Institute of Mathematics of the Romanian Academy Bucharest Romania

5. Brno University of Technology, Faculty of Electrical Engineering and Communication Brno Czech Republic

6. Department of Mathematics Zhejiang Normal University Jinhua Zhejiang China

7. School of Mathematics and Statistics HNP‐LAMA, Central South University Changsha Hunan P.R. China

Abstract

AbstractWe consider a nonlinear Dirichlet problem driven by a nonautonomous double‐phase differential operator and with a reaction consisting of a “strongly” singular term plus a concave perturbation. Using the Nehari method, we show the existence of a bounded strictly positive solution.

Funder

China Scholarship Council

Publisher

Wiley

Link

https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/blms.12991

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