IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
Uniform stability of the ball with respect to the first Dirichlet and Neumann infinity-eigenvalues
Autor/es:
JULIO ROSSI; ARIEL M. SALORT; DA SILVA, JOÃO VITOR
Revista:
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
Editorial:
Texas State University, Department of Mathematics
Referencias:
Lugar: San Marcos; Año: 2018 vol. 2018 p. 1 - 9
ISSN:
1072-6691
Resumen:
t. In this note we analyze how perturbations of a ball Br ⊂ Rn behavesin terms of their first (non-trivial) Neumann and Dirichlet ∞−eigenvalueswhen a volume constraint Ln(Ω) = Ln(Br) is imposed. Our main result statesthat Ω is uniformly close to a ball when it has first Neumann and Dirichleteigenvalues close to the ones for the ball of the same volume Br.
