On the surjectivity of the almost linear operator and its applications期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

首页 | 本学科首页

官方微博 | 高级检索

On the surjectivity of the almost linear operator and its applications

Authors:

Wu Shaoping

Affiliation:

1. Department of Applied Mathematics, Zhejiang University, Zhejiang, China

Abstract:

LetL be a self-adjoint linear operator andN be the gradient of a functional ϕ, which is almost quadratic. We first give a theorem on the surjectivity of the operatorL+N, then apply the result to semilinear elliptic systems:

$begin{gathered} - Delta u + g_u (u,v) = f_1 (x), inOmega , hfill - Delta v + g_v (u,v) = f_2 (x), inOmega , hfill uleft\| {_{partial Omega } = 0,v} right\|_{partial Omega } = 0. hfill end{gathered}$

Keywords:
本文献已被 SpringerLink 等数据库收录！

设为首页 | 免责声明 | 关于勤云 | 加入收藏