This paper is concerned with large solutions of Hessian equations $S_k(D^2u)=g(x,u)$ in a strictly k-convex domain, i.e. solutions that blow-up on the boundary of the domain. We prove existence, in the viscosity sense, of this kind of solutions assuming that g satisfies some natural growth conditions. Non-existence and uniqueness results are given too.
Boundary blow-up problems for Hessian equations / P. Salani. - STAMPA. - 96(1998), pp. 281-294.
Titolo: | Boundary blow-up problems for Hessian equations |
Autori di Ateneo: | |
Autori: | SALANI, PAOLO |
Data di pubblicazione: | 1998 |
Rivista: | |
Volume: | 96 |
Pagina iniziale: | 281 |
Pagina finale: | 294 |
Abstract: | This paper is concerned with large solutions of Hessian equations $S_k(D^2u)=g(x,u)$ in a strictly k-convex domain, i.e. solutions that blow-up on the boundary of the domain. We prove existence, in the viscosity sense, of this kind of solutions assuming that g satisfies some natural growth conditions. Non-existence and uniqueness results are given too. |
Handle: | http://hdl.handle.net/2158/344147 |
Appare nelle tipologie: | 1a - Articolo su rivista |
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