R^(3)上具有一般凹凸非线性项的Klein-Gordon-Born-Infeld方程无穷多解的存在性  

Infinitely Many Large Energy Solutions for the Klein-Gordon-Born-Infeld Equation on R^(3) with Concave and Convex Nonlinearities

作　　者：陈尚杰[1,2] Chen Shangjie(School of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067;Chongqing Key Laboratory of Social Economy and Applied Statistics,Chongqing 400067)

机构地区：[1]重庆工商大学数学与统计学院,重庆400067 [2]经济社会应用统计重庆市重点实验,重庆400067

出　　处：《数学物理学报（A辑）》2024年第3期637-649,共13页Acta Mathematica Scientia

基　　金：重庆市研究生导师团队建设项目(yds223010);重庆工商大学统计测度和应用团队(ZDPTTD201909)。

摘　　要：该文运用临界点理论中的Z_(2)-山路定理得到了R^(3)上具有凹凸非线性项的Klein-Gordon方程和Born-Infeld理论耦合系统无穷多解的存在性.In this paper,we obtained the existence of infinitely many large energy solutions for the Klein-Gordon equation with concave and convex nonlinearities coupled with Born-Infeld theory on R^(3) by using Z_(2)-Mountain Pass Theorem in critical point theory.

关 键 词：KLEIN-GORDON方程 Born-Infeld理论 变分方法 Z_(2)-山路定理 

分 类 号：O176.3[理学—数学]