Existence of the Solution for a Double Phase System with Convex Nonlinearities

作者：Yizhe Feng, Suiming Shang, Zhanbing Bai · 发表于：Journal of Nonlinear Mathematical Physics · 年份：2024 · DOI：10.1007/s44198-024-00179-z · 被引用次数：5 · 研究领域：Nonlinear Partial Differential Equations、Advanced Mathematical Modeling in Engineering、Nonlinear Differential Equations Analysis

Abstract In this paper, we study the following double phase system which contains the convex nonlinearities. By the use of the Nehari manifold, the existence of one nontrivial solution which has nonnegative energy is obtained.