We obtain maximum modulus principles for solutions to some
quasilinear and fully nonlinear ODEs and discuss their
applications to quasilinear PDEs involving $p$-Laplacian. Our
approach is convenient to deal with singular PDEs. Its idea can be
tracked back to the old theory by Szegö on orthogonal
polynomials.
Publié le : 2007-03-14
Classification:
maximum principles,
quasilinear PDEs,
radial solutions,
Sturm-Liouville problem,
$p$-Laplacian,
35B50,
33C45,
35J15,
34C11
@article{1172852251,
author = {Ka\l amajska, Agnieszka and Lira, Karol},
title = {Maximum modulus principles for radial solutions of
quasilinear and fully nonlinear singular P.D.E's},
journal = {Bull. Belg. Math. Soc. Simon Stevin},
volume = {13},
number = {5},
year = {2007},
pages = { 157-176},
language = {en},
url = {http://dml.mathdoc.fr/item/1172852251}
}
Kałamajska, Agnieszka; Lira, Karol. Maximum modulus principles for radial solutions of
quasilinear and fully nonlinear singular P.D.E's. Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, pp. 157-176. http://gdmltest.u-ga.fr/item/1172852251/