Acta mathematica scientia,Series B ›› 1989, Vol. 9 ›› Issue (2): 231-240.

• Articles • Previous Articles    

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

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.

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