Bifurcation from trivial solution for elliptic systems with nonlinear boundary conditions |
| |
Authors: | Yang Zhang |
| |
Institution: | Department of Mathematics, Harbin Institute of Technology, Harbin, 150080, P.R. China. |
| |
Abstract: | In this paper, we investigate semilinear elliptic systems having a parameter with nonlinear Neumann boundary conditions over a smooth bounded domain. The objective of our study is to analyse bifurcation component of positive solutions from trivial solution and their stability. The results are obtained via classical bifurcation theorem from a simple eigenvalue, by studying the eigenvalue problem of elliptic systems. |
| |
Keywords: | elliptic systems nonlinear boundary conditions bifurcation stability |
|
|