点击次数：

论文类型：期刊论文

发表时间：2018-01-01

发表刊物：INDIANA UNIVERSITY MATHEMATICS JOURNAL

收录刊物：SCIE

卷号：67

期号：6

页面范围：2103-2121

ISSN号：0022-2518

关键字：Bifurcation; mean curvature operator; topological method

摘要：We establish the existence/nonexistence and multiplicity of nontrivial nonnegative solutions for the following 0-Dirichlet problem with mean curvature operator in the Minkowski space
   {-div(del u/root 1-|del u|(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 zero/one/two nontrivial nonnegative solutions according to sublinear/linear/superlinear nonlinearity at zero. Moreover, we also amend a minor fault in [2, Proposition 1.1].