Hits:

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:Using bifurcation method, we investigate the existence, nonexistence and multiplicity of positive solutions for the following Dirichlet problem involving mean curvature operator in Minkowski space
   {-div(v = 0)(del v/root 1-vertical bar del v vertical bar(2)) = lambda f(vertical bar x vertical bar,v) in B-R(0), on partial derivative B-R(0).
   We managed to determine the intervals of the parameter lambda in which the above problem has zero, one or two positive radial solutions corresponding to sublinear, linear, and superlinear nonlinearities f at zero respectively. We also studied the asymptotic behaviors of positive radial solutions as lambda -> +infinity.