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Indexed by:期刊论文

Date of Publication:2018-11-01

Journal:NONLINEARITY

Included Journals:SCIE

Volume:31

Issue:11

Page Number:5309-5328

ISSN No.:0951-7715

Key Words:bifurcation; mean curvature operator; one-sign solution

Abstract:We establish a unilateral global bifurcation result for the following problem
   {-div(del u/root 1-vertical bar del u vertical bar(2)) = lambda f(x, u) in Omega,
   u = 0 on partial derivative Omega,
   where Omega is a bounded domain in R-N. Based on this global bifurcation result, we also studied the global structure of one-sign solutions according to different asymptotic behaviors (sublinear/linear/superlinear/jumping) nonlinearity near zero.