Boundary blow-up problems for Hessian equations

Salani, Paolo

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.

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Titolo:	Boundary blow-up problems for Hessian equations
Autori di Ateneo:	SALANI, PAOLO
Autori:	SALANI, PAOLO
Data di pubblicazione:	1998
Rivista:	MANUSCRIPTA MATHEMATICA
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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