Using stable solutions of suitable PDEs, we obtain some weighted Poincaré inequalities, with applications to the Laplace operator in the Euclidean space, to the real part of the Laplace-Kohn operator in the Heisenberg group, to the sub-laplacian in the Engel group, to the Franchi-Grushin-Lanconelli operators, and the p -laplacian in the Euclidean space.

F. Ferrari, E. Valdinoci (2009). Some weighted Poincaré inequalities. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 58, 1619-1638 [10.1512/iumj.2009.58.3601].

Some weighted Poincaré inequalities

FERRARI, FAUSTO;
2009

Abstract

Using stable solutions of suitable PDEs, we obtain some weighted Poincaré inequalities, with applications to the Laplace operator in the Euclidean space, to the real part of the Laplace-Kohn operator in the Heisenberg group, to the sub-laplacian in the Engel group, to the Franchi-Grushin-Lanconelli operators, and the p -laplacian in the Euclidean space.
2009
F. Ferrari, E. Valdinoci (2009). Some weighted Poincaré inequalities. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 58, 1619-1638 [10.1512/iumj.2009.58.3601].
F. Ferrari; E. Valdinoci
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/77223
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