Positive solutions for double phase problems with combined nonlinearities

被引：0
作者：
Zhenhai Liu
Nikolaos S. Papageorgiou
机构：
[1] Yulin Normal University,Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing
[2] Guangxi University for Nationalities,Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis
[3] National Technical University,Department of Mathematics
来源：
Positivity | 2022年 / 26卷
关键词：
Double phase operator; Concave-convex problem; Positive solution; Fibering function; Natural constraint; 35J15; 35J75;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider a double phase Dirichlet problem with a reaction exhibiting the competing effects of a concave (sublinear) term and a parametric convex (superlinear) term. Using the Nehari method, we show that for all small values of the parameter, the problem has at least two positive bounded solutions.
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