Sturmian comparison results for quasilinear elliptic equations in \(\mathbb{R}^n\)
Electronic journal of differential equations, Tome 2007 (2007)
We obtain Sturmian comparison results for the nonnegative solutions to Dirichlet problems associated with p-Laplacian operators. From Picone-type identities [4,9], we obtain results comparing solutions of two types of equations. We also present results related to those operators using Picone-type identities.
Classification :
35B05, 35B50, 35J70
Keywords: p-Laplacian, Picone's identity, comparison methods, maximum principle
Keywords: p-Laplacian, Picone's identity, comparison methods, maximum principle
@article{EJDE_2007__2007__a134,
author = {Tadie},
title = {Sturmian comparison results for quasilinear elliptic equations in {\(\mathbb{R}^n\)}},
journal = {Electronic journal of differential equations},
year = {2007},
volume = {2007},
zbl = {1387.35259},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a134/}
}
Tadie. Sturmian comparison results for quasilinear elliptic equations in \(\mathbb{R}^n\). Electronic journal of differential equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a134/