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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
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2043236
Page Count: 5
You can always find the topics here!Topics: Nonlinearity, Mathematical theorems, Real numbers, Topological theorems, Boundary value problems, Critical points, Minimax, Mathematical problems, Continuous functions
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We prove that a certain two point BVP with jumping nonlinearities has a solution. Our result generalizes that of . 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 ).
Proceedings of the American Mathematical Society © 1980 American Mathematical Society