共振条件下半线性椭圆偏微分方程边值问题解的存在唯一性(英文)

On Resonance and Unique Existence for Semi-linearElliptic Boundary Value Problem

利用极小极大原理 ,在共振条件下 ,证明了一个半线性椭圆偏微分方程 Direchlet边值问题广义解的存在唯一性定理 ,从而推广了已知的一些结果 .

In this paper,with the use of a min max principle.under a resonance condition,a unique existence of generalized solution to the Direchlet boundary value problem of the semi-linear elliptic partial differential equations is given,and this extended partially the results that was known.;