Academic Journals Database
Disseminating quality controlled scientific knowledge

Boundary eigencurve problems involving the p-Laplacian operator

ADD TO MY LIST
 
Author(s): Abdelouahed El Khalil | Mohammed Ouanan

Journal: Electronic Journal of Differential Equations
ISSN 1072-6691

Volume: 2008;
Issue: 78;
Start page: 1;
Date: 2008;
Original page

Keywords: p-Laplacian operator | nonlinear boundary conditions | principal eigencurve | Sobolev trace embedding

ABSTRACT
In this paper, we show that for each $lambda in mathbb{R}$, there is an increasing sequence of eigenvalues for the nonlinear boundary-value problem $$displaylines{ Delta_pu=|u|^{p-2}u quad hbox{in } Omegacr | abla u|^{p-2}frac{partial u}{partial u}=lambda ho(x)|u|^{p-2}u+mu|u|^{p-2}u quad hbox{on } partial Omega,; }$$ also we show that the first eigenvalue is simple and isolated. Some results about their variation, density, and continuous dependence on the parameter $lambda$ are obtained.
Save time & money - Smart Internet Solutions      Why do you need a reservation system?