Release Time:2019-03-12  Hits:

Indexed by: Journal Article

Date of Publication: 2017-05-01

Journal: DIFFERENTIAL AND INTEGRAL EQUATIONS

Included Journals: Scopus、SCIE

Volume: 30

Issue: 5-6

Page Number: 463-480

ISSN: 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.