Generalized Keller--Osserman conditions for fully nonlinear degenerate elliptic equations
Contemporary Mathematics. Fundamental Directions, Differential and functional differential equations, Tome 64 (2018) no. 1, pp. 74-85
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We discuss the existence of entire (i.e. defined on the whole space) subsolutions of fully nonlinear degenerate elliptic equations, giving necessary and sufficient conditions on the coefficients of the lower order terms which extend the classical Keller–Osserman conditions for semilinear elliptic equations. Our analysis shows that, when the conditions of existence of entire subsolutions fail, a priori upper bounds for local subsolutions can be obtained.
@article{CMFD_2018_64_1_a4,
author = {I. Capuzzo Dolcetta and F. Leoni and A. Vitolo},
title = {Generalized {Keller--Osserman} conditions for fully nonlinear degenerate elliptic equations},
journal = {Contemporary Mathematics. Fundamental Directions},
pages = {74--85},
publisher = {mathdoc},
volume = {64},
number = {1},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CMFD_2018_64_1_a4/}
}
TY - JOUR AU - I. Capuzzo Dolcetta AU - F. Leoni AU - A. Vitolo TI - Generalized Keller--Osserman conditions for fully nonlinear degenerate elliptic equations JO - Contemporary Mathematics. Fundamental Directions PY - 2018 SP - 74 EP - 85 VL - 64 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMFD_2018_64_1_a4/ LA - ru ID - CMFD_2018_64_1_a4 ER -
%0 Journal Article %A I. Capuzzo Dolcetta %A F. Leoni %A A. Vitolo %T Generalized Keller--Osserman conditions for fully nonlinear degenerate elliptic equations %J Contemporary Mathematics. Fundamental Directions %D 2018 %P 74-85 %V 64 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMFD_2018_64_1_a4/ %G ru %F CMFD_2018_64_1_a4
I. Capuzzo Dolcetta; F. Leoni; A. Vitolo. Generalized Keller--Osserman conditions for fully nonlinear degenerate elliptic equations. Contemporary Mathematics. Fundamental Directions, Differential and functional differential equations, Tome 64 (2018) no. 1, pp. 74-85. http://geodesic.mathdoc.fr/item/CMFD_2018_64_1_a4/