Eigenvalues for the Steklov problem via Ljusternic– Schnirelman principle
Afrouzi, G., Mirzapour, M., Khademloo, S. (2013). Eigenvalues for the Steklov problem via Ljusternic– Schnirelman principle. EKB Journal Management System, 21(1), 16-20. doi: 10.1016/j.joems.2012.10.006
G.A. Afrouzi; M. Mirzapour; S. Khademloo. "Eigenvalues for the Steklov problem via Ljusternic– Schnirelman principle". EKB Journal Management System, 21, 1, 2013, 16-20. doi: 10.1016/j.joems.2012.10.006
Afrouzi, G., Mirzapour, M., Khademloo, S. (2013). 'Eigenvalues for the Steklov problem via Ljusternic– Schnirelman principle', EKB Journal Management System, 21(1), pp. 16-20. doi: 10.1016/j.joems.2012.10.006
Afrouzi, G., Mirzapour, M., Khademloo, S. Eigenvalues for the Steklov problem via Ljusternic– Schnirelman principle. EKB Journal Management System, 2013; 21(1): 16-20. doi: 10.1016/j.joems.2012.10.006

Eigenvalues for the Steklov problem via Ljusternic– Schnirelman principle

Journal of the Egyptian Mathematical Society
Volume 21, Issue 1, April 2013, Pages 16-20    PDF (313.43 K)
DOI: 10.1016/j.joems.2012.10.006
Authors
G.A. Afrouzi* 1; M. Mirzapour1; S. Khademloo2
1Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
2Faculty of Basic Sciences, Babol University of Technology, Babol, Iran
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
p-Laplacian systems; Eigenvalue problems; Variational methods; Ljusternic–Schnirelman principle
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