点击次数：

论文类型：期刊论文

发表时间：2017-05-01

发表刊物：DIFFERENTIAL AND INTEGRAL EQUATIONS

收录刊物：SCIE、Scopus

卷号：30

期号：5-6

页面范围：463-480

ISSN号：0893-4983

摘要：This paper is devoted to investigate the existence and multiplicity of radial nodal solutions for the following Dirichlet problem with mean curvature operator in Minkowski space
   {-div(del upsilon/root 1-vertical bar del upsilon vertical bar(2)) = gimel f(vertical bar x vertical bar,upsilon) in B-R(0),
   upsilon = 0 on partial derivative B-R(0).
   By bifurcation approach, we determine the interval of parameter gimel in which the above problem has two or four radial nodal solutions which have exactly n - 1 simple zeros in (0, R) according to linear/sublinear/ superlinear nonlinearity at zero. The asymptotic behaviors of radial nodal solutions as gimel -> +infinity and n -> +infinity are also studied.