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.File in questo prodotto:
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