Release Time:2019-03-13  Hits:

Indexed by: Journal Article

Date of Publication: 2016-08-01

Journal: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Included Journals: Scopus、SCIE

Volume: 55

Issue: 4

ISSN: 0944-2669

Abstract: In this paper we correct a gap of Whyburn type topological lemma and establish two superior limit theorems. As the applications of our Whyhurn type topological theorems, we study the following Monge-Ampere equation
   {det(u=0)(D(2)u) = lambda(N)a(x) f (-u) in Omega, on partial derivative Omega.
   We establish global bifurcation results for the problem. We find intervals of lambda for the existence, multiplicity and nonexistence of strictly convex solutions for this problem.