Release Time:2019-03-11  Hits:

Indexed by: Journal Article

Date of Publication: 2017-11-15

Journal: JOURNAL OF FUNCTIONAL ANALYSIS

Included Journals: Scopus、SCIE

Volume: 273

Issue: 10

Page Number: 3200-3240

ISSN: 0022-1236

Key Words: Bifurcation; Admissible solution; Hessian equation

Abstract: We study the following eigenvalue problem of k-Hessian equation
   { S-k(D(2)u) = lambda(k)f(-u) in B,
   u= 0 on partial derivative B.
   Global bifurcation result is established for this problem. As applications of the bifurcation result, we determine the intervals of A for the existence, nonexistence, uniqueness and multiplicity of radially symmetric k-admissible solutions for this problem. (C) 2017 Elsevier Inc. All rights reserved.