Viscosity solutions of the p-Laplace equation with nonlinear source

• Autores: Alkis S. Tersenov, Aris S. Tersenov
• Localización: Archiv der Mathematik, ISSN 0003-889X, Vol. 88, Nº. 3, 2007, págs. 259-268
• Idioma: inglés
• DOI: 10.1007/s00013-006-1873-9
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• Resumen

  • In the present paper we consider the Dirichlet problem in a convex domain for the multidimensional p-Laplace equation with nonlinear source. We prove the existence of the unique continuous viscosity solution under quite general assumptions on the structure of the source.