Eigenvalue analysis for the p-Laplacian under convective perturbation

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:110

Article

García-Melián, J ; de Lis, JS ; Sanabria-García, M

关键词: p-Laplacian operator;    nonlinear eigenvalue problem;    phase space analysis;   

DOI  :  10.1016/S0377-0427(99)00197-1

来源: Elsevier

【 摘 要 】

In this paper a detailed analysis of the eigenvalue problem under convection -(\u'\(p-2)u')' - c\u'\(p-2)u' = lambda\u\(p-2)u, 0 < x < 1, u(0) = u(1) = 0 ('=d/dx) is performed. The analysis is based on a complete study of the phase space of the family of equations (\u'\(p-2)u')' + a\u'\(p-2)u' + b\u\(p-2)u = 0, a, b constants. (C) 1999 Published by Elsevier Science B.V. All rights reserved. MSG: 34B15; 34A12; 34C05; 35J70.

【 授权许可】

Free