Proceedings of the American Mathematical Society

Author(s): Salvatore A. Marano
Journal: Proc. Amer. Math. Soc. 125 (1997), 2953-2961.
MSC (1991): Primary 35J65, 35B30, 35R70
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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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 35J65, 35B30, 35R70

Salvatore A. Marano
Affiliation: Department of Mathematics, University of Catania, Viale A. Doria 6, 95125 Catania, Italy
Email: marano@dipmat.unict.it

DOI: 10.1090/S0002-9939-97-03969-5
PII: S 0002-9939(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
Copyright of article: Copyright 1997, American Mathematical Society

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