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Existence and regularity results for fully nonlinear equations with singularities |
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| Authors: | Patricio Felmer Alexander Quaas Boyan Sirakov |
| Affiliation: | 1. Departamento de Ingenier??a Matem??tica and Centro de Modelamiento Matem??tico, UMR2071 CNRS-UChile, Universidad de Chile, Casilla 170 Correo 3, Santiago, Chile 2. Departamento de Matem??tica, Universidad Santa Mar??a, Casilla V-110, Avda. Espa?a 1680, Valpara??so, Chile 3. UFR SEGMI, Universit?? de Paris Ouest, 92001, Nanterre Cedex, France 4. CAMS, EHESS, 190-198, avenue de France, 75244, Paris Cedex 13, France |
| Abstract: | We consider the Dirichlet boundary value problem for a singular elliptic PDE like F[u] = p(x)u ??? , where p, ?? ?? 0, in a bounded smooth domain of ${mathbb{R}^n}$ . The nondivergence form operator F is assumed to be of Hamilton?CJacobi?CBellman or Isaacs type. We establish existence and regularity results for such equations. |
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