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.File in questo prodotto:
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