We deal with fractional generalized logistic problems in presence of a signed and unbounded weight. We describe the first eigenpair of the underlying operators and we show a bifurcation result for positive solutions, which are proved to be unique. A symmetry result is established under suitable geometric constraints.

Fractional Generalized Logistic Equations with Indefinite Weight: Quantitative and Geometric Properties / Marinelli, Alessio; Mugnai, Dimitri. - In: THE JOURNAL OF GEOMETRIC ANALYSIS. - ISSN 1050-6926. - 30:2(2020), pp. 1985-2009. [10.1007/s12220-020-00353-x]

Fractional Generalized Logistic Equations with Indefinite Weight: Quantitative and Geometric Properties

Marinelli, Alessio;
2020-01-01

Abstract

We deal with fractional generalized logistic problems in presence of a signed and unbounded weight. We describe the first eigenpair of the underlying operators and we show a bifurcation result for positive solutions, which are proved to be unique. A symmetry result is established under suitable geometric constraints.
2020
2
Marinelli, Alessio; Mugnai, Dimitri
Fractional Generalized Logistic Equations with Indefinite Weight: Quantitative and Geometric Properties / Marinelli, Alessio; Mugnai, Dimitri. - In: THE JOURNAL OF GEOMETRIC ANALYSIS. - ISSN 1050-6926. - 30:2(2020), pp. 1985-2009. [10.1007/s12220-020-00353-x]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/251128
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