INVESTIGADORES
SALORT Ariel Martin
artículos
Título:
The first non-zero Neumann p-fractional eigenvalue.
Autor/es:
ARIEL SALORT; LEANDRO DEL PEZZO
Revista:
JOURNAL OF NONLINEAR ANALYSIS
Editorial:
PERGAMON-ELSEVIER SCIENCE LTD
Referencias:
Lugar: Amsterdam; Año: 2015
ISSN:
0362-546X
Resumen:
In this work we study the asymptotic behavior of the first non-zero Neumann p−fractional eigenvalue λ1(s,p) as s→1− and as p→∞. We show that there exists a constant K such that K(1−s)λ1(s,p) goes to the first non-zero Neumann eigenvalue of the p−Laplacian. While in the limit case p→∞, we prove that λ1(1,s)1/p goes to an eigenvalue of the H"older ∞−Laplacian.