Open AccessEigenvalues for the Steklov problem via Ljusternic–Schnirelman principle
Author(s) -
G. A. Afrouzi,
M. Mirzapour,
S. Khademloo
Publication year - 2013
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2012.10.006
Subject(s) - mathematics , eigenvalues and eigenvectors , bounded function , domain (mathematical analysis) , sequence (biology) , combinatorics , pure mathematics , mathematical analysis , physics , quantum mechanics , biology , genetics
This paper deals with the existence of nondecreasing sequence of nonnegative eigenvalues for the systemsdiv(a(x)|∇u|p-2∇u)=b(x)|u|p-2uinΩ,|∇u|p-2∂u∂n=λc(x)|u|p-2uon∂Ω,by using the Ljusternic–Schnirelman principle, where Ω is a bounded domain in RN(N⩾2)