关於具有非可微非线性项的半线性椭园型方程的正解的歧点问题  

Bifurcation Problems for Positive Solutions of Semililnear Elliptic Equation with the Nondifferential Nonlinear Term

作　　者：秦月君 

机构地区：[1]贵州大学数学系,贵阳550025

出　　处：《贵州大学学报（自然科学版）》1994年第1期13-18,共6页Journal of Guizhou University:Natural Sciences

摘　　要：在本文中,先给出非可微全连续锥映象的歧点的一些充分条件及歧点的范围;然后将它们应用於半线性二阶椭园型方程的狄氏问题的正解的歧点分析,在非线性项没有可微性假设条件下,讨论了该问题正解的歧点存在的条件及歧点所在的范围.In this paper gives some sufficient conditions for the bifurcation point of a nondifferential complete continuous cone operation and the range of the bifurcation point and then use those results to the Dirichlet problem of a second order semilinear elliptic partial differential equation with a nondifferential nonlinear term and obtain some existence theorems for the bifurcation and asymptotic bifurcation point of this problem

关 键 词：半线性 椭园型方程 歧点 正解 

分 类 号：O175.25[理学—数学]