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Indexed by:期刊论文

Date of Publication:2017-11-15

Journal:JOURNAL OF FUNCTIONAL ANALYSIS

Included Journals:SCIE、Scopus

Volume:273

Issue:10

Page Number:3200-3240

ISSN No.: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.