摘要
文章主要利用扰动方法结合Calderon-Zydmound不等式和Schauder不动点定理研究了一类p-Laplacian方程:-Δpu+f(x,u,u)=h(x),u∈W1,0 p(Ω),对f做合适的假设,得到这类方程弱解的存在性。
The Calderon-Zydmound inequality and Schauder fixed point theorem due to the perturbation method are used to study a class p-Laplacian elliptic equation:-△pu+f(x,u,△↓u)=h(x),u∈W0^1,p(Ω). Under some sufficient conditions off, the equation existence of a weak solution is also proved in the paper.
出处
《四川理工学院学报(自然科学版)》
CAS
2010年第1期31-32,35,共3页
Journal of Sichuan University of Science & Engineering(Natural Science Edition)