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论文类型：期刊论文

发表时间：2017-06-01

发表刊物：NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

收录刊物：SCIE、Scopus

卷号：24

期号：3

ISSN号：1021-9722

关键字：Bifurcation; Mean curvature operator; Topological method

摘要：We establish the existence of nontrivial nonnegative solution for the following 0-Dirichlet problem with mean curvature operator in the Minkowski space
   { -div (del u/root 1-|Vu|(2)) = lambda f (x, u) in Omega, u = 0 on partial derivative Omega,
   where Omega is a general bounded domain of R-N. By bifurcation and topological methods, we determine the interval of parameter lambda in which the above problem has nontrivial nonnegative solution according to sublinear or linear nonlinearity at zero.