Release Time:2019-03-11  Hits:

Indexed by: Journal Article

Date of Publication: 2017-06-01

Journal: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

Included Journals: Scopus、SCIE

Volume: 24

Issue: 3

ISSN: 1021-9722

Key Words: Bifurcation; Mean curvature operator; Topological method

Abstract: 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.