Elliptic eigenvalue problems

with highly discontinuous nonlinearities

Author:
Salvatore A. Marano

Journal:
Proc. Amer. Math. Soc. **125** (1997), 2953-2961

MSC (1991):
Primary 35J65, 35B30, 35R70

MathSciNet review:
1402873

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Abstract | References | Similar Articles | Additional Information

Abstract: For a family of elliptic eigenvalue problems with highly discontinuous nonlinearities, the existence of unbounded continua of positive solutions containing (0,0) is established by using techniques and results from set-valued analysis. Some special cases are then presented and discussed.

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Additional Information

**Salvatore A. Marano**

Affiliation:
Department of Mathematics, University of Catania, Viale A. Doria 6, 95125 Catania, Italy

Email:
marano@dipmat.unict.it

DOI:
http://dx.doi.org/10.1090/S0002-9939-97-03969-5

Keywords:
Elliptic eigenvalue problems,
discontinuous nonlinearities,
elliptic differential inclusions,
unbounded continuum of solutions

Received by editor(s):
March 15, 1996

Received by editor(s) in revised form:
May 7, 1996

Additional Notes:
Work performed under the auspices of G.N.A.F.A. of C.N.R. and partially supported by M.U.R.S.T. of Italy (40%, 1994).

Communicated by:
Palle E. T. Jorgensen

Article copyright:
© Copyright 1997
American Mathematical Society