@article{663fc3afbfd3453eb48d4a118851bff2,
title = "Comparison principle for unbounded viscosity solutions of degenerate elliptic PDEs with gradient superlinear terms",
abstract = "We are concerned with fully nonlinear possibly degenerate elliptic partial differential equations (PDEs) with superlinear terms with respect to Du. We prove several comparison principles among viscosity solutions which may be unbounded under some polynomial-type growth conditions. Our main result applies to PDEs with convex superlinear terms but we also obtain some results in nonconvex cases. Applications to monotone systems of PDEs are given.",
keywords = "Comparison principle, Growth conditions, Nonconvex hamiltonians, Systems of pDE, Viscosity solution",
author = "Shigeaki Koike and Olivier Ley",
note = "Funding Information: * Corresponding author. E-mail addresses: skoike@rimath.saitama-u.ac.jp (S. Koike), olivier.ley@insa-rennes.fr (O. Ley). 1 S.K. was supported in part by Grant-in-Aid for Scientific Research (No. 20340026) of Japan Society for the Promotion of Science. 2 O.L. is partially supported by ANR BLANC07-3 187245, Hamilton–Jacobi and Weak KAM Theory.",
year = "2011",
month = sep,
day = "1",
doi = "10.1016/j.jmaa.2011.03.009",
language = "English",
volume = "381",
pages = "110--120",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Academic Press Inc.",
number = "1",
}