We establish existence of two positive solutions far 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.
Two positive solutions for superlinear neumann problems with a complete sturm-liouville operator
Bonanno, Gabriele
Primo
;
2018-01-01
Abstract
We establish existence of two positive solutions far 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.File in questo prodotto:
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J. Convex Analysis, 25, 2018, 2.pdf
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