Release Time:2019-03-13  Hits:

Indexed by: Journal Article

Date of Publication: 2018-11-01

Journal: NONLINEARITY

Included Journals: SCIE

Volume: 31

Issue: 11

Page Number: 5309-5328

ISSN: 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.