Hits:

Indexed by:期刊论文

Date of Publication:2017-05-01

Journal:DIFFERENTIAL AND INTEGRAL EQUATIONS

Included Journals:SCIE、Scopus

Volume:30

Issue:5-6

Page Number:463-480

ISSN No.:0893-4983

Abstract: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.