Behaviour of the first eigenvalue of the p-Laplacian in a domain with a hole

• Autorzy: M. Sango
• Języki publikacji: EN

Abstrakty

EN

We investigate the behaviour of a sequence $λ_{s}$, s = 1,2,..., of eigenvalues of the Dirichlet problem for the p-Laplacian in the domains $Ω_{s}$, s = 1,2,..., obtained by removing from a given domain Ω a set $E_{s}$ whose diameter vanishes when s → ∞. We estimate the deviation of $λ_{s}$ from the eigenvalue of the limit problem. For the derivation of our results we construct an appropriate asymptotic expansion for the sequence of solutions of the original eigenvalue problem.

Kategorie tematyczne

• 35J65: Nonlinear boundary value problems for linear elliptic equations
• 35P30: Nonlinear eigenvalue problems, nonlinear spectral theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2001
• Tom: 87
• Numer: 1
• Strony: 103-111

Daty

wydano

2001

Twórcy

autor

M. Sango

• Department of Mathematics, Vista University, Private Bag X050, Vanderbijlpark 1900, South Africa

Identyfikatory

DOI

10.4064/cm87-1-6