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论文类型：期刊论文

发表时间：2016-08-01

发表刊物：CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

收录刊物：SCIE、Scopus

卷号：55

期号：4

ISSN号：0944-2669

摘要：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.