Eigenvalues for the Steklov problem via Ljusternic– Schnirelman principle

Authors

1 Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

2 Faculty of Basic Sciences, Babol University of Technology, Babol, Iran

http://dx.doi.org/10.1016/j.joems.2012.10.006

Abstract

This paper deals with the existence of nondecreasing sequence of nonnegative eigenvalues
for the systems
divðaðxÞjrujp2ruÞ ¼ bðxÞjujp2u in X;
jrujp2 @u
@n ¼ kcðxÞjujp2u on @X; (
by using the Ljusternic–Schnirelman principle, where X is a bounded domain in RN(N P2).

Keywords