一个关于P=N的拟线性椭圆问题

One Quasilinear Elliptic Problem on p=n

在RN空间中,一类关于n=p且含有临界位势的P-Laplacian方程:-div(|u|N-2u)-μ|u|N-2u|x|NlnNR/|x|=λg(x,u),x∈Ω;u=0,x∈Ω利用没有(PS)条件山路引理证明了上面问题的非平凡解的存在性.

This acticle is concerns with the P-Laplacian equations with critical weight and p = n in the RN area：-div（｜u｜^N-2u-μ｜u｜^N-2u/｜x｜^Nln^nR/｜x｜=λg（x,u）,x∈Ω,u=0,x∈δΩ we prove the existence of a nontrivial solution of above problem by using Mountain Pass Lemma without （PS） condition.