Open AccessThe first eigenvalue of -Laplacian systems with nonlinear boundary conditions
Author(s) -
DA Kandilakis,
M. Magiropoulos,
N. B. Zographopoulos
Publication year - 2005
Publication title -
boundary value problems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.579
H-Index - 38
eISSN - 1687-2770
pISSN - 1687-2762
DOI - 10.1155/bvp.2005.307
Subject(s) - eigenvalues and eigenvectors , mathematics , eigenfunction , nonlinear system , mathematical analysis , partial differential equation , p laplacian , laplace operator , ordinary differential equation , boundary value problem , simple (philosophy) , boundary (topology) , differential equation , physics , philosophy , epistemology , quantum mechanics
We study the properties of the positive principal eigenvalue and the corresponding eigenspaces of two quasilinear elliptic systems under nonlinear boundary conditions. We prove that this eigenvalue is simple, unique up to positive eigenfunctions for both systems, and isolated for one of them