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.