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Volumn 65, Issue 3, 2012, Pages 337-380

Nonlocal tug-of-war and the infinity fractional laplacian

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EID: 84355166599     PISSN: 00103640     EISSN: 10970312     Source Type: Journal    
DOI: 10.1002/cpa.21379     Document Type: Article
Times cited : (102)

References (12)
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    • The infinity Laplacian, Aronsson's equation and their generalizations
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    • Barron, E. N.; Evans, L. C.; Jensen, R. The infinity Laplacian, Aronsson's equation and their generalizations. Trans. Amer. Math. Soc. 360 (2008), no. 1, 77-101.
    • (2008) Trans. Amer. Math. Soc. , vol.360 , pp. 77-101
    • Barron, E.N.1    Evans, L.C.2    Jensen, R.3
  • 2
    • 84881031051 scopus 로고
    • American Mathematical Society Colloquium Publications, 43. American Mathematical Society, Providence, R.I.
    • Caffarelli, L. A.; Cabré, X. Fully nonlinear elliptic equations. American Mathematical Society Colloquium Publications, 43. American Mathematical Society, Providence, R.I., 1995.
    • (1995) Fully nonlinear elliptic equations
    • Caffarelli, L.A.1    Cabré, X.2
  • 3
    • 37849049246 scopus 로고    scopus 로고
    • Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
    • no. 2
    • Caffarelli, L. A.; Salsa, S.; Silvestre, L. Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian. Invent. Math. 171 (2008), no. 2, 425-461.
    • (2008) Invent. Math. , vol.171 , pp. 425-461
    • Caffarelli, L.A.1    Salsa, S.2    Silvestre, L.3
  • 4
    • 68049121967 scopus 로고    scopus 로고
    • Regularity theory for fully nonlinear integro-differential equations
    • no. 5
    • Caffarelli, L.; Silvestre, L. Regularity theory for fully nonlinear integro-differential equations. Comm. Pure Appl. Math. 62 (2009), no. 5, 597-638.
    • (2009) Comm. Pure Appl. Math. , vol.62 , pp. 597-638
    • Caffarelli, L.1    Silvestre, L.2
  • 5
    • 84355160831 scopus 로고    scopus 로고
    • The Hölder infinite Laplacian and Hölder extensions. Preprint, Available at:
    • Chambolle, A.; Lindgren, E.; Monneau, R. The Hölder infinite Laplacian and Hölder extensions. Preprint, 2010. Available at:
    • (2010)
    • Chambolle, A.1    Lindgren, E.2    Monneau, R.3
  • 7
    • 84355164647 scopus 로고    scopus 로고
    • A remark on infinity harmonic functions. Proceedings of the USAChile Workshop on Nonlinear Analysis (Viña del Mar-Valparaiso, 2000), Electronic Journal of Differential Equations Conference, 6. San Marcos, Tex.
    • Crandall, M. G.; Evans, L. C. A remark on infinity harmonic functions. Proceedings of the USAChile Workshop on Nonlinear Analysis (Viña del Mar-Valparaiso, 2000), 123-129. Electronic Journal of Differential Equations Conference, 6. San Marcos, Tex., 2001.
    • (2001) , pp. 123-129
    • Crandall, M.G.1    Evans, L.C.2
  • 9
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • no. 1
    • Crandall, M. G.; Ishii, H.; Lions, P.-L. User's guide to viscosity solutions of second order partial differential equations. Bull. Amer. Math. Soc. (N.S.) 27 (1992), no. 1, 1-67.
    • (1992) Bull. Amer. Math. Soc. (N.S.) , vol.27 , pp. 1-67
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  • 10
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    • Uniqueness of Lipschitz extensions: minimizing the sup norm of the gradient
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    • Jensen, R. Uniqueness of Lipschitz extensions: minimizing the sup norm of the gradient. Arch. Rational Mech. Anal. 123 (1993), no. 1, 51-74.
    • (1993) Arch. Rational Mech. Anal. , vol.123 , pp. 51-74
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  • 11
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    • A deterministic-control-based approach to motion by curvature
    • no. 3
    • Kohn, R. V.; Serfaty, S. A deterministic-control-based approach to motion by curvature. Comm. Pure Appl. Math. 59 (2006), no. 3, 344-407.
    • (2006) Comm. Pure Appl. Math. , vol.59 , pp. 344-407
    • Kohn, R.V.1    Serfaty, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.