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A Two Point Boundary Value Problem with Jumping Nonlinearities

Alfonso Castro B.
Proceedings of the American Mathematical Society
Vol. 79, No. 2 (Jun., 1980), pp. 207-211
DOI: 10.2307/2043236
Stable URL: http://www.jstor.org/stable/2043236
Page Count: 5
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
A Two Point Boundary Value Problem with Jumping Nonlinearities
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Abstract

We prove that a certain two point BVP with jumping nonlinearities has a solution. Our result generalizes that of [2]. We use variational methods which permit giving a minimax characterization of the solution. Our proof exposes the similarities between the variational behavior of this problem and that of other semilinear problems with noninvertible linear part (see [5]).

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