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
@article{EJDE_2007__2007__a234,
     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__a234/}
}
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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__a234/