Resonance problems with respect to the Fucík spectrum

Author:
Martin Schechter

Journal:
Trans. Amer. Math. Soc. **352** (2000), 4195-4205

MSC (2000):
Primary 35J65, 58E05, 47J30, 49J40

DOI:
https://doi.org/10.1090/S0002-9947-00-02655-6

Published electronically:
May 23, 2000

MathSciNet review:
1766536

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Abstract | References | Similar Articles | Additional Information

Abstract: We study semilinear boundary value problems which have asymptotic resonance with respect to the linear part. The difficulties for Fucík resonance problems are compounded by the fact that there is no eigenspace with which to work. The present paper uses new linking theorems which can deal with the sets required to obtain critical points.

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Additional Information

**Martin Schechter**

Affiliation:
Department of Mathematics, University of California, Irvine, California 92697-3875

Email:
mschecht@math.uci.edu, mschecht@juno.com

DOI:
https://doi.org/10.1090/S0002-9947-00-02655-6

Received by editor(s):
August 20, 1996

Received by editor(s) in revised form:
February 1, 1998

Published electronically:
May 23, 2000

Additional Notes:
Research supported in part by an NSF grant.

Article copyright:
© Copyright 2000
American Mathematical Society