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Indexed by:期刊论文

Date of Publication:2017-06-01

Journal:NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

Included Journals:SCIE、Scopus

Volume:24

Issue:3

ISSN No.: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.