Zhenhai Liu, Nikolaos S. Papageorgiou
Abstract:
We consider a Dirichlet (p,q)-equation, with a gradient dependent reaction which is only
locally defined. Using truncations, theory of nonlinear operators of monotone type,
and fixed point theory (the Leray-Schauder Alternative Theorem), we show the existence
of a positive smooth solution.
Submitted October 17, 2020. Published April 30, 2021.
Math Subject Classifications: 35J20, 35J60,35J92.
Key Words: (p,q)-differential operator; convection; fixed point; nonlinear;
regularity; positive solution; Leray-Schauder alternative theorem.
DOI: https://doi.org/10.58997/ejde.2021.34
Show me the PDF file (310 KB), TEX file for this article.
 |
Zhenhai Liu Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing Yulin Normal University Yulin 537000, China email: zhhliu@hotmail.com |
|---|---|
| Nikolaos S. Papageorgiou Department of Mathematics National Technical University Zografou Campus, 15780 Athens, Greece email: npapg@math.ntua.gr |
Return to the EJDE web page