We consider existence and multiplicity results for a semilinear problem driven by the square root of the negative Laplacian in presence of a nonlinear term which is the difference of two powers. In the case of convex–concave powers, a precise description of the problem at the threshold value of a given parameter is established through variational methods and truncation techniques.
On some fractional equations with convex–concave and logistic-type nonlinearities
MUGNAI, Dimitri
2017
Abstract
We consider existence and multiplicity results for a semilinear problem driven by the square root of the negative Laplacian in presence of a nonlinear term which is the difference of two powers. In the case of convex–concave powers, a precise description of the problem at the threshold value of a given parameter is established through variational methods and truncation techniques.File in questo prodotto:
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