An Area-Dirichlet Integral Minimization Problem

Communications on Pure and Applied Mathematics

Volumn 54, Issue 4, 2001, Pages 479-499

  Athanasopoulos, I ^a   Kenig, C ^b   Caffarellli, L A ^c   Salsa, S ^d  

^a UNIVERSITY OF CRETE   (Greece)

^b UNIVERSITY OF CHICAGO   (United States)

^c UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^d POLITECNICO DI MILANO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037823619     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/1097-0312(200104)54:4<479::AID-CPA3>3.0.CO;2-2     Document Type: Article

References (5)

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2. Alt, H. W.; Caffarelli, L. A.; Friedman, A. Variational problems with two phases and their free boundaries. Trans. Amer. Math. Soc. 282 (1984), no. 2, 431-461.
3. Caffarelli, L. A.; Cabré, X. Fully nonlinear elliptic equations. American Mathematical Society Colloquium Publications, 43. American Mathematical Society, Providence, R.I., 1995.
4. Modica, L. The gradient theory of phase transitions and the minimal interface criterion. Arch. Rational Mech. Anal. 98 (1987), no. 2, 123-142.
5. Tamanini, I. Regularity results for almost minimal oriented hypersurface in ℝn. Quaderni del Dipartimento di Matematica, Università di Lecce 1 (1994).