,

Green function of the Laplacian for the Neumann problem in Rn+

, и .
Libertas Mathematica, (2010)

Аннотация

By analogy with the Green function for the Dirichlet problem for adomain Ω, one considers the Green type function for the Neumann problemforΩ. We obtain the Green type function for the positive half-space ofRnand useit to solve the Neumann problem. The cases where Ω is the positive halfspaceofR2and ofR3are analyzed in details under new hypotheses.

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