关于p-Laplace方程解的存在性

Existence of solution for a class of p-Laplace equation

利用W1,p(Ω)空间相关理论、嵌入定理和Mountain Pass引理,通过定义合适的泛函,研究了一类p-Laplace方程正解的存在性.

In this paper,the existence of solution for a class of p-Laplace equation is obtained by defining the appropriate functional and by using the theories of the spaces W^1,p（Ω）,embedding theorems and the Mountain Pass Lemma.