## Elliptic eigenvalue problems with highly discontinuous nonlinearities

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- by Salvatore A. Marano
- Proc. Amer. Math. Soc.
**125**(1997), 2953-2961 - DOI: https://doi.org/10.1090/S0002-9939-97-03969-5
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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.## References

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## Bibliographic Information

**Salvatore A. Marano**- Affiliation: Department of Mathematics, University of Catania, Viale A. Doria 6, 95125 Catania, Italy
- Email: marano@dipmat.unict.it
- 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 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**125**(1997), 2953-2961 - MSC (1991): Primary 35J65, 35B30, 35R70
- DOI: https://doi.org/10.1090/S0002-9939-97-03969-5
- MathSciNet review: 1402873