Electron. J. Diff. Eqns., Vol. 2007(2007), No. 26, pp. 1-8.

Sturmian comparison results for quasilinear elliptic equations in R^n


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.

Submitted October 19, 2006. Published February 12, 2007.
Math Subject Classifications: 35B05, 35B50, 35J70.
Key Words: p-Laplacian; Picone's identity; comparison methods; maximum principle.

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Mathematics Institut, Universitetsparken 5
2100 Copenhagen, Denmark.
Department of Mathematics, Makerere University
P.O. Box 7062, Kampala, Uganda
email: tad@math.ku.dk

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