Spectrum of the fractional p-Laplacian in RN and decay estimate for positive solutions of a Schrödinger equation. (April 2020)

• Record Type: Journal Article
• Authors: Del Pezzo, Leandro M.; Quaas, Alexander
• Is Part Of: Nonlinear analysis. Volume 193(2020)
• Publication Date: 2020-04
• Subjects: Spectrum -- Fractional p-Laplacian -- Decay estimate; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2019.03.002
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, we prove the existence of unbounded sequence of eigenvalues for the fractional p − Laplacian with weight in R N . We also show a nonexistence result when the weight has positive integral. In addition, we show some qualitative properties of the first eigenfunction including a sharp decay estimate. Finally, we extend the decay result to the positive solutions of a Schrödinger type equation.