Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840124 | Nonlinear Analysis: Theory, Methods & Applications | 2013 | 24 Pages |
Abstract
We prove comparison principles, uniqueness, regularity and symmetry results for pp-regular distributional solutions of quasilinear very weak elliptic equations of coercive type and to related inequalities. The simplest model examples are −Δpu+|u|q−1u=hon RN, where q>p−1>0q>p−1>0 and −div(∇u1+|∇u|2)+|u|q−1u=hon RN, with q>0q>0 and h∈Lloc1(RN).
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Authors
Lorenzo D’Ambrosio, Alberto Farina, Enzo Mitidieri, James Serrin,