Regularity of Lipschitz free boundaries in two-phase problems for the p-Laplace operator
By John L. Lewis, Kaj Nyström. 2010
51 citations recorded by the source corpus.
In this paper we continue the study in [LN6], concerning the regularity of the free boundary in a general two-phase free boundary problem for the p-Laplace operator, by proving regularity of the free boundary assuming that the free boundary is close to a Lipschitz graph.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/60844b1420912d8266f8c722129d2b9485964885
How researchers see this paper
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In Applied Mathematics
- Fausto Ferrari
- Kaj Nyström
- John L. Lewis
- Sandro Salsa
- D. Silva
- Verena Bogelein
- Juan Luis V'azquez
- Frank Duzaar
In Computational Theory and Mathematics
- Fausto Ferrari
- Kaj Nyström
- John L. Lewis
- Sandro Salsa
- D. Silva
- Verena Bogelein
- Juan Luis V'azquez
- Frank Duzaar
Citations in the corpus
- Two-phase problems with distributed sources: regularity of the free boundary (2012, background): “operators; [Argiolas and Ferrari 2009; Feldman 2001; 1997; Ferrari 2006; Wang 2000; 2002] for fully nonlinear operators; and [Lewis and Nyström 2010] for the p-Laplacian.”
- Regularity and Free Boundary Regularity for the p-Laplace Operator in Reifenberg Flat and Ahlfors Regular Domains (2012, methodology): “As stated in the introduction we can use either the results in [1] (see also [12]) or [29], [30] to complete the proof of Lemma 5.”