A FOURTH ORDER ELLIPTIC EQUATION WITH A SINGULAR NONLINEARITY

作者：Guo, Zongming^*; Wei, Long

来源：Communications on Pure and Applied Analysis, 2014, 13(6): 2493-2508.

DOI：10.3934/cpaa.2014.13.2493

• Fourth order elliptic equations
• singular nonlinearities
• blow-up arguments
• branches of solutions

In this paper, we study the structure of solutions of a fourth order elliptic equation with a singular nonlinearity. For different boundary values kappa, we establish the global bifurcation branches of solutions to the equation. More precisely, we show that kappa = 1 is a critical boundary value to change the structure of solutions to this problem.

• 出版日期2014-11
• 单位河南师范大学; 杭州电子科技大学