Higher order elliptic equations in half space

• María Amelia Muschietti ^[1] ; Federico Tournier ^[2]
  1. [1] Universidad Nacional de La Plata

     Universidad Nacional de La Plata

     Argentina

     
  2. [2] CONICET, Argentina
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 58, Nº. 2, 2017, págs. 259-280
• Idioma: inglés
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• Resumen

  • We consider 2mth order elliptic equations with Hölder coefficients in half space. We solve the Dirichlet problem with m conditions on the boundary of the upper half space. We first analyze the constant coefficient case, finding the Green function and a representation formula, and then prove Schauder estimates.