A class of nonlinear Sturm-Liouville problems with infinitely many solutions

Schaaf, Renate; Schmitt, Klaus

doi:10.1090/S0002-9947-1988-0933322-5

A class of nonlinear Sturm-Liouville problems with infinitely many solutions
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by Renate Schaaf and Klaus Schmitt PDF

Trans. Amer. Math. Soc. 306 (1988), 853-859 Request permission

Abstract:

This paper is concerned with the existence of solutions of nonlinear Sturm-Liouville problems whose linear part is at resonance. It is shown that such problems may have infinitely many solutions if the nonlinear perturbations are periodic.

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