Solvability of monotone systems of fully nonlinear elliptic PDE's
Abstract
We study quasimonotone weakly coupled systems of uniformly elliptic equations of Isaac type. We prove results on existence of viscosity solutions of such systems and give a necessary and sufficient condition for such a system to satisfy the comparison principle. To cite this article: A. Quaas, B. Sirakov, C. R. Acad. Sci. Paris, Ser. I 346 (2008). © 2008 Académie des sciences.
Más información
Título según WOS: | Solvability of monotone systems of fully nonlinear elliptic PDE's |
Título según SCOPUS: | Solvability of monotone systems of fully nonlinear elliptic PDE's |
Título de la Revista: | COMPTES RENDUS MATHEMATIQUE |
Volumen: | 346 |
Número: | 11-dic |
Editorial: | ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER |
Fecha de publicación: | 2008 |
Página de inicio: | 641 |
Página final: | 644 |
Idioma: | English |
URL: | http://linkinghub.elsevier.com/retrieve/pii/S1631073X08001271 |
DOI: |
10.1016/j.crma.2008.04.008 |
Notas: | ISI, SCOPUS |