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Spectrum of the fractional [formula omitted]-Laplacian in [formula omitted] and decay estimate for positive solutions of a Schrödinger equation.
- Source :
-
Nonlinear Analysis . Apr2020, Vol. 193, pN.PAG-N.PAG. 1p. - Publication Year :
- 2020
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SCHRODINGER equation
*ESTIMATES
*EIGENFUNCTIONS
Subjects
Details
- Language :
- English
- ISSN :
- 0362546X
- Volume :
- 193
- Database :
- Academic Search Index
- Journal :
- Nonlinear Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 141684685
- Full Text :
- https://doi.org/10.1016/j.na.2019.03.002