Geodesic
A fully nonlinear problem with free boundary in the plane
De Silva, Daniela1 ; Valdinoci, Enrico2 
1 Department of Mathematics, Barnard College, Columbia University, NY 10027, New York
2 Dipartimento di Matematica, II Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, 00133 Roma, Italia
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 9 (2010) no. 1, pp. 111-132.

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We prove that bounded solutions to an overdetermined fully nonlinear free boundary problem in the plane are one dimensional. Our proof relies on maximum principle techniques and convexity arguments.

Classification : 35J60, 35N25, 35B06

De Silva, Daniela 1 ; Valdinoci, Enrico 2

1 Department of Mathematics, Barnard College, Columbia University, NY 10027, New York
2 Dipartimento di Matematica, II Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, 00133 Roma, Italia 
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De Silva, Daniela; Valdinoci, Enrico. A fully nonlinear problem with free boundary in the plane. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 9 (2010) no. 1, pp. 111-132. http://geodesic.mathdoc.fr/item/ASNSP_2010_5_9_1_111_0/

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