%0 Journal Article %1 constantin2010green %A Constantin, E. %A Pavel, N. H. %C Arlington, Texas %D 2010 %I American Romanian Academy of Arts and Science %J Libertas Mathematica %K 31b20-bvps-inverse-problems-in-higher-dimensions 35j05-laplacian-operator-helmholtz-poisson-equation 35j08-pdes-elliptic-greens-functions 35j25-bvps-2nd-order-elliptic-equations %P 57-69 %T Green function of the Laplacian for the Neumann problem in Rn+ %U http://www.lm-ns.org/ %V 30 %X 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.

@article{constantin2010green, abstract = {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.}, added-at = {2021-04-12T08:22:03.000+0200}, address = {Arlington, Texas}, author = {Constantin, E. and Pavel, N. H.}, biburl = {https://www.bibsonomy.org/bibtex/2d3b3313cde97b797fbd0c42ff63e047e/gdmcbain}, interhash = {c191255b5ded9385ccaac7e08ad3b5b5}, intrahash = {d3b3313cde97b797fbd0c42ff63e047e}, issn = {2182867X}, journal = {Libertas Mathematica}, keywords = {31b20-bvps-inverse-problems-in-higher-dimensions 35j05-laplacian-operator-helmholtz-poisson-equation 35j08-pdes-elliptic-greens-functions 35j25-bvps-2nd-order-elliptic-equations}, pages = {57-69}, publisher = {American Romanian Academy of Arts and Science}, refid = {1120445357}, timestamp = {2021-04-12T08:24:20.000+0200}, title = {Green function of the Laplacian for the Neumann problem in Rn+}, url = {http://www.lm-ns.org/}, volume = 30, year = 2010 }