一类P－Laplace方程非平凡解的存在性

Existence of the Nontrivial Solution to a Class of P-Laplace Equation

本文利用山路引理讨论一类超临界增长边值条件的Ｐ－Ｌａｐｌａｃｅ方程Ｎｅｕｍａｎｎ问题的非平凡解的存在性。

In this paper, the existence of nontrivial solution to the Neumann problem of a class of PLaplace equation with a nonlinear boundary condition when the order of the nonlinear growth in the equation is strictly greater than tile order of the nonlinear growth on the boundary is discussed using Mountain Pass Lemma.