双相问题基态解的存在性
Existence of Ground State Solution of Double Phase Problem
DOI: 10.12677/PM.2023.136160, PDF,    国家自然科学基金支持
作者: 鄢兴业, 杨艺豪：江西理工大学理学院，江西 赣州
关键词: 双相算子；单调性技巧；基态解；Double Phase Operator； Monotonicity Trick； Ground State Solution
摘要: 本文在全空间RN上研究了具有一般非线性项双相问题的基态解。利用变分法和单调性技巧，得到了双相问题在Berestycki-Lions条件下具有非平凡径向对称的基态解。
Abstract: We study a double phase problem with a general nonlinear term satisfying the Berestycki-Lions condition in RN. Based on the Monotonicity trick and variational method, we are going to prove the existence of a nontrivial radial ground state solution for this problem.
文章引用：鄢兴业, 杨艺豪. 双相问题基态解的存在性[J]. 理论数学, 2023, 13(6): 1578-1588. https://doi.org/10.12677/PM.2023.136160

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