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), u∈W1,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.
严树森. ON THE EXISTENCE OF INFINITELY MANY CRITICAL POINTS OF THE EVEN FUNCTIONAL integral from ∫Q F(x,u,Du)+∫∂Q G(x,u)[J]. 数学物理学报(英文版), 1989, 9(2): 231-240.
Yan Shusen. ON THE EXISTENCE OF INFINITELY MANY CRITICAL POINTS OF THE EVEN FUNCTIONAL integral from ∫Q F(x,u,Du)+∫∂Q G(x,u)[J]. Acta mathematica scientia,Series B, 1989, 9(2): 231-240.