Best constant in Sobolev trace inequalities on the half-space

By Bruno Nazaret. 2006

74 citations recorded by the source corpus.

Using a mass transportation method, we study optimal Sobolev trace inequalities on the half-space and prove a conjecture made by Escobar in 1988 about the minimizers.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/fbca2c72ecb59da14cf8d2df9965d0c761d51549

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Van Hoang Nguyen
2. Jean Dolbeault
3. Maria J. Esteban
4. Michael Loss
5. Monica Musso
6. Manuel del Pino
7. Angela Pistoia

In Computational Theory and Mathematics

1. Jean Dolbeault
2. Van Hoang Nguyen
3. Maria J. Esteban
4. Michael Loss

In Geometry and Topology

1. Maria J. Esteban
2. Van Hoang Nguyen
3. Michael Loss
4. Jean Dolbeault

Citations in the corpus

• Nonlinear flows and rigidity results on compact manifolds (2013, methodology): “Transportation ideas were also applied in [32] for proving the sharp GagliardoNirenberg inequalities and in [53] for proving sharp trace inequalities for Sobolev functions.”
• Sharp weighted Sobolev and Gagliardo–Nirenberg inequalities on half‐spaces via mass transport and consequences (2013, methodology): “In recent years, mass transportation method has been used successfully to prove some sharp inequalities in Analysis and Geometry, for example, see [3, 5, 11, 12, 16, 18, 19, 22, 24].”