Regularity near the characteristic set in the non-linear Dirichlet problem and conformal geometry of sub-Laplacians on Carnot groups

By Nicola Garofalo, D. Vassilev. 2000

101 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/2497cc5be4d6f9eab29039e2edf70ea1582cc052

How researchers see this paper

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In Applied Mathematics

1. Annunziata Loiudice
2. Francesco Uguzzoni
3. Andrea Bonfiglioli
4. L. D’Ambrosio

In Geometry and Topology

1. Francesco Uguzzoni
2. Annunziata Loiudice
3. Andrea Bonfiglioli

Citations in the corpus

• Semilinear subelliptic problems with critical growth on Carnot groups (2007, methodology): “This fact was observed by Garofalo-Vassilev [12] and it is based on a concentration compactness argument.”
• Nonlinear Liouville theorems for some critical problems on H-type groups (2004, methodology): “We point out that Pohozaev-type identities have been proved in the previous papers [26] in the setting of the Heisenberg group and in [27] for general Carnot groups.”