The influence of boundary data on the number of solutions of boundary value problems with jumping nonlinearities

Harris, Greg A.

doi:10.1090/S0002-9947-1990-0961622-0

The influence of boundary data on the number of solutions of boundary value problems with jumping nonlinearities
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by Greg A. Harris PDF

Trans. Amer. Math. Soc. 321 (1990), 417-464 Request permission

Abstract:

This paper contains results concerning the number of solutions, as a function of the boundary data, for boundary value problems with jumping nonlinearities. An example seems to indicate that boundary data has a different influence on this number than does forcing data. Through approximating techniques this example leads to lower bounds on solution numbers for the more general case

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