Geodesic
Geometric properties of Bernoulli-type minimizers
Arshak Petrosyan1 orcid ; Enrico Valdinoci2 orcid
1Purdue University, West Lafayette, USA
2Università di Roma Tor Vergata, Italy
Interfaces and free boundaries, Tome 7 (2005) no. 1, pp. 55-78

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DOI

We consider a Bernoulli-type variational problem and we prove some geometric properties for minimizers, such as: gradient bounds, linear growth from the free boundary, density estimates, uniform convergence of level sets and the existence of plane-like minimizers in periodic media.
DOI : 10.4171/ifb/113
Classification : 49-XX, 00-XX, 35-XX
Mots-clés : free boundary problem, Bernoulli-type problem, p-Laplacian, density estimates, plane-like minimizers

Arshak Petrosyan  1   ; Enrico Valdinoci  2

1 Purdue University, West Lafayette, USA
2 Università di Roma Tor Vergata, Italy 
Arshak Petrosyan; Enrico Valdinoci. Geometric properties of Bernoulli-type minimizers. Interfaces and free boundaries, Tome 7 (2005) no. 1, pp. 55-78. doi: 10.4171/ifb/113
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     pages = {55--78},
     year = {2005},
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     number = {1},
     doi = {10.4171/ifb/113},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/113/}
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