Elliptic eigenvalue problems with highly discontinuous nonlinearities

Marano, Salvatore

doi:10.1090/S0002-9939-97-03969-5

Elliptic eigenvalue problems with highly discontinuous nonlinearities
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Proc. Amer. Math. Soc. 125 (1997), 2953-2961 Request permission

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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