一类非线性Neumann边值问题的多解性  

Multiple solutions for a class of nonlinear Neumann boundary value problems

作　　者：刘洁 缪清[1] LIU Jie;MIAO Qing(School of Mathematics and Computers,Yunnan Minzu University,Yunnan Kunming,650500,China)

机构地区：[1]云南民族大学数学与计算机科学学院,云南昆明650500

出　　处：《云南民族大学学报（自然科学版）》2023年第2期248-254,共7页Journal of Yunnan Minzu University:Natural Sciences Edition

基　　金：国家自然科学基金(11861078).

摘　　要：考虑了一类带有非线性Neumann边界条件的p(x)-Laplace方程,在f(x,t),g(x,t)不满足Ambrosetti-Rabinowitz条件下,通过运用边界迹嵌入定理、变分方法和喷泉定理得到问题的多解性.In this paper,a class of p(x)-Laplace equation with nonlinear Neumann boundary conditions is considered.When f(x,t)and g(x,t)do not satisfy Ambrosetti-Rabinowitz conditions,the multisolution of the problem is obtained by using the boundary trace embedding theorem,variational method and fountain theorem.

关 键 词：变分方法 CERAMI条件 喷泉定理 

分 类 号：O175.6[理学—数学]