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Indexed by:期刊论文

Date of Publication:2016-08-01

Journal:CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Included Journals:SCIE、Scopus

Volume:55

Issue:4

ISSN No.: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.