# American Institute of Mathematical Sciences

July  1999, 5(3): 489-493. doi: 10.3934/dcds.1999.5.489

## Multiple solutions theorems for semilinear elliptic boundary value problems with resonance at infinity

 1 Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100080, China 2 Institute of Mathematics, Academia Sinica, Beijing, 100080, China

Received  August 1998 Revised  February 1999 Published  May 1999

In this paper, we use Lyapunov-Schmidt method and Morse theory to study semilinear elliptic boundary value problems with resonance at infinity, and get new multiple solutions theorems.
Citation: Shujie Li, Zhitao Zhang. Multiple solutions theorems for semilinear elliptic boundary value problems with resonance at infinity. Discrete & Continuous Dynamical Systems - A, 1999, 5 (3) : 489-493. doi: 10.3934/dcds.1999.5.489
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