We deal with fully nonlinear second-order equations assuming a superlinear growth in u with the aim to generalize previous existence and uniqueness results of viscosity solutions in the whole space without conditions at infinity. We also consider the solvability of the Dirichlet problem in bounded and unbounded domains and show a blow-up result.
Viscosity solutions of uniformly elliptic equations without boundary and growth conditions at infinity / Galise, Giulio; Vitolo, A.. - In: INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 1687-9643. - 2011:(2011), pp. 1-18. [10.1155/2011/453727]
Viscosity solutions of uniformly elliptic equations without boundary and growth conditions at infinity
GALISE, GIULIO;
2011
Abstract
We deal with fully nonlinear second-order equations assuming a superlinear growth in u with the aim to generalize previous existence and uniqueness results of viscosity solutions in the whole space without conditions at infinity. We also consider the solvability of the Dirichlet problem in bounded and unbounded domains and show a blow-up result.File allegati a questo prodotto
File | Dimensione | Formato | |
---|---|---|---|
Galise_Viscosity-solutions_2011 .pdf
solo gestori archivio
Tipologia:
Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
576.46 kB
Formato
Adobe PDF
|
576.46 kB | Adobe PDF | Contatta l'autore |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.