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

Shujie Li; Zhitao Zhang

doi:10.3934/dcds.1999.5.489

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1999, Volume 5, Issue 3: 489-493. Doi: 10.3934/dcds.1999.5.489

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

Shujie Li^1, and
Zhitao Zhang^2,

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

Received: July 31, 1998

Revised: January 31, 1999

Published: June 1999

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Abstract

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.

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Mathematics Subject Classification: 35J20, 35J25, 35J60.

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