摘要
简要介绍Kadomtsev-Petviashvili方程解的研究现状,运用变分方法研究带凹凸非线性Kadomtsev-Petviashvili方程解的存在性。借助Nehari流形可以得到在R^(N)中,方程至少有一个非平凡解。
This paper briefly introduces the research status of solutions to Kadomtsev-Petviashvili equation,and studies the existence of solutions of Kadomtsev-Petviashvili equation with concave-convex nonlinearity by using variational method.With the help of Nehari manifold,it can be obtained that the equation has at least one nontrivial solution in R^(N).
作者
陈佼苹
林美琳
CHEN Jiaoping;LIN Meilin(College of Mathematics and Statistics,Fujian Normal University,Fuzhou Fujian 350117,China;School of Mathematics and Finance,Putian University,Putian Fujian 351100,China)
出处
《莆田学院学报》
2023年第5期23-26,共4页
Journal of putian University
基金
国家自然科学基金资助项目(11971253)。