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Multiple positive solutions of the discrete Dirichlet problem with one-dimensional prescribed mean curvature operator
Yanqiong Lu
Keywords:positive solutions; multiplicity; prescribed mean curvature operator; critical point theory
Abstract:
      We shall discuss the existence and multiplicity of positive solutions for the discrete Dirichlet problem with one-dimensional prescribed mean curvature operator. Based on the critical point theory, we shall show the existence of either one, or two, or three, or infinity many positive solutions depending on the asymptotic behavior of nonlinearity near zero.
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