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Existence and Multiplicity Results for Degenerate Elliptic Equations with Dependence on the Gradient
Boundary Value Problems volume 2007, Article number: 047218 (2007)
Abstract
We study the existence of positive solutions for a class of degenerate nonlinear elliptic equations with gradient dependence. For this purpose, we combine a blowup argument, the strong maximum principle, and Liouville-type theorems to obtain a priori estimates.
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Iturriaga, L., Lorca, S. Existence and Multiplicity Results for Degenerate Elliptic Equations with Dependence on the Gradient. Bound Value Probl 2007, 047218 (2007). https://doi.org/10.1155/2007/47218
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DOI: https://doi.org/10.1155/2007/47218