Trace inequalities for Carnot-Carathéodory spaces and applications
Donatella Danielli, Nicola Garofalo, Duy-Minh Nhieu (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “Pointwise estimates for a class of strongly degenerate elliptic operators : a geometrical approach”
Trace inequalities for Carnot-Carathéodory spaces and applications
Embedding theorems into lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations.
Guozhen Lu (1996)
Publicacions Matemàtiques
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Existence and estimates of Green's function for degenerate elliptic equations
S. Chanillo, R. L. Wheeden (1988)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Harnack inequality and Green function for a certain class of degenerate elliptic differential operators.
Oscar Salinas (1991)
Revista Matemática Iberoamericana
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The main purpose of this work is to obtain a Harnack inequality and estimates for the Green function for the general class of degenerate elliptic operators described below.
Hölder regularity theorem for a class of linear nonuniformly elliptic operators with measurable coefficients
Bruno Franchi, Ermanno Lanconelli (1983)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Weighted Poincaré and Sobolev inequalites for vector fields satisfying Hörmander's condition and applications.
Guozhen Lu (1992)
Revista Matemática Iberoamericana
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In this paper we mainly prove weighted Poincaré inequalities for vector fields satisfying Hörmander's condition. A crucial part here is that we are able to get a pointwise estimate for any function over any metric ball controlled by a fractional integral of certain maximal function. The Sobolev type inequalities are also derived. As applications of these weighted inequalities, we will show the local regularity of weak solutions for certain classes of strongly degenerate differential...
Pointwise estimates for minimizers of some non-uniformly degenerate functionals
Vittorio Scornazzani (1989)
Rendiconti del Seminario Matematico della Università di Padova
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Subelliptic Poincaré inequalities: the case p < 1.
Stephen M. Buckley, Pekka Koskela, Guozhen Lu (1995)
Publicacions Matemàtiques
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We obtain (weighted) Poincaré type inequalities for vector fields satisfying the Hörmander condition for p < 1 under some assumptions on the subelliptic gradient of the function. Such inequalities hold on Boman domains associated with the underlying Carnot- Carathéodory metric. In particular, they remain true for solutions to certain classes of subelliptic equations. Our results complement the earlier results in these directions for p ≥ 1.