IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
Spectrum of the fractional p -Laplacian in R N and decay estimate for positive solutions of a Schrödinger equation
Autor/es:
QUAAS, ALEXANDER; DEL PEZZO, LEANDRO M.
Revista:
JOURNAL OF NONLINEAR ANALYSIS
Editorial:
PERGAMON-ELSEVIER SCIENCE LTD
Referencias:
Año: 2020 vol. 193
ISSN:
0362-546X
Resumen:
In this paper, we prove the existence of unbounded sequence of eigenvalues for the fractional $p-$Laplacian with weight in $\mathbb{R}^N.$ 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 Schr\"odinger type equation.
