数学物理学报(英文版) ›› 1989, Vol. 9 ›› Issue (2): 231-240.

• 论文 • 上一篇    

ON THE EXISTENCE OF INFINITELY MANY CRITICAL POINTS OF THE EVEN FUNCTIONAL integral from ∫Q F(x,u,Du)+∫∂Q G(x,u)

严树森   

  1. Dept. of Appl. Math., South China Inst. of Tech., Guangzhou, China
  • 收稿日期:1989-07-15 出版日期:1989-06-25 发布日期:1989-06-25

ON THE EXISTENCE OF INFINITELY MANY CRITICAL POINTS OF THE EVEN FUNCTIONAL integral from ∫Q F(x,u,Du)+∫∂Q G(x,u)

Yan Shusen   

  1. Dept. of Appl. Math., South China Inst. of Tech., Guangzhou, China
  • Received:1989-07-15 Online:1989-06-25 Published:1989-06-25

摘要: In this paper we deal with the existence of infinitely many critical points of the even functional
I(u)=∫Q F(x,u,Du)+∫∂Q to G(x,u), uW1,p(Ω),
where G(x, u)=∫0u g(x,t)dt, under the weak structure conditions on F(x, u, q) by the Mountain Pass Lemma.

Abstract: In this paper we deal with the existence of infinitely many critical points of the even functional
I(u)=∫Q F(x,u,Du)+∫∂Q to G(x,u), uW1,p(Ω),
where G(x, u)=∫0u g(x,t)dt, under the weak structure conditions on F(x, u, q) by the Mountain Pass Lemma.