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 ).
© 1980 American Mathematical Society
Castro, Alfonso, "Two Point Boundary Value Problem with Jumping Nonlinearities" (1980). All HMC Faculty Publications and Research. 459.
First published in Proceedings of the American Mathematical Society in Vol 79-2(1980), published by the American Mathematical Society