高阶拟线性椭圆型方程的正解

ON THE EXISTENCE OF POSITIVE SOLUTION FOR HIGH ORDER QUASILINEAR ELLIPTIC EQUATIONS

本文利用山路引理证明了高阶拟线性椭圆型Euler方程在Sobolev空间W_^(0,p(Ω)中正解的存在性.

In this paper, we consider the high order quasilinear elliptic Euler equations. Using Mountain Pass Lemma, we proved the existence of positive solution in W_v^(,p)(Ω) for the high order quasilinear elliptic Euler equations.