Remarks on the Phragmén-Lindelöf theorem for $L^p$-viscosity solutions of fully nonlinear PDEs with unbounded ingredients

Koike, Shigeaki; Nakagawa, Kazushige

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Remarks on the Phragmén-Lindelöf theorem for $L^p$-viscosity solutions of fully nonlinear PDEs with unbounded ingredients

Koike, Shigeaki ; Nakagawa, Kazushige

Electronic Journal of Differential Equations, Tome 2009 (2009).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Résumé

Summary: The Phragmen-Lindelof theorem for Lp-viscosity solutions of fully nonlinear second order elliptic partial differential equations with unbounded coefficients and inhomogeneous terms is established.

Classification : 35B53, 35D40, 35B50
Keywords: phragmen-Lindelöf theorem, lp-viscosity solution, weak Harnack inequality

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     author = {Koike, Shigeaki and Nakagawa, Kazushige},
     title = {Remarks on the {Phragm\'en-Lindel\"of} theorem for $L^p$-viscosity solutions of fully nonlinear {PDEs} with unbounded ingredients},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2009},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a79/}
}

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Koike, Shigeaki; Nakagawa, Kazushige. Remarks on the Phragmén-Lindelöf theorem for $L^p$-viscosity solutions of fully nonlinear PDEs with unbounded ingredients. Electronic Journal of Differential Equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a79/