Sobolev Inequalities on Sets with Irregular Boundaries

By T. Kilpeläinen, Jan Maly. 2000

91 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/b2918113aaf9206f1446beaaba99eae801b0320b

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. Lenka Slav'ikov'a
2. L. Pick
3. Andrea Cianchi
4. Iwona Chlebicka
5. Cristina Tarsi
6. Joaquim Martín
7. Robert J. Berman
8. Giuseppe Mingione

In Geometry and Topology

1. L. Pick
2. Lenka Slav'ikov'a
3. Andrea Cianchi

Citations in the corpus

• Higher-order Sobolev embeddings and isoperimetric inequalities (2013, background): “John domains are known to support a first-order Sobolev inequality with the same exponents as in the standard Sobolev inequality [11,48,54].”