Two positive solutions for superlinear Neumann problems with a complete Sturm-Liouville operator

IANNIZZOTTO, ANTONIO;MARRAS, MONICA
2018-01-01

Abstract

We establish existence of two positive solutions for a nonlinear Sturm-Liouville equation in a complete form, that is, involving the first derivative, with Neumann boundary conditions. The conclusion is obtained by assuming a suitable behaviour of the nonlinearity in a well determined interval and at infinity, requiring no condition at zero. Our approach is based on variational methods.
2018
Neumann problem; Multiple solutions; Variational methods
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