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Volumn 32, Issue 8, 2007, Pages 1245-1260

An extension problem related to the fractional laplacian

Author keywords

Degenerate elliptic equations; Fractional Laplacian

Indexed keywords


EID: 34548348805     PISSN: 03605302     EISSN: 15324133     Source Type: Journal    
DOI: 10.1080/03605300600987306     Document Type: Article
Times cited : (3041)

References (10)
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    • Almgren, F. J. Jr. (2000). Almgren's Big Regularity Paper. 1 of World Scientific Monograph Series in Mathematics. River Edge, NJ: World Scientific Publishing Co. Inc. Q-valued functions minimizing Dirichlet's integral and the regularity of area-minimizing rectifiable currents up to codimension 2, With a preface by Jean E. Taylor and Vladimir Scheffer.
    • Almgren, F. J. Jr. (2000). Almgren's Big Regularity Paper. Volume 1 of World Scientific Monograph Series in Mathematics. River Edge, NJ: World Scientific Publishing Co. Inc. Q-valued functions minimizing Dirichlet's integral and the regularity of area-minimizing rectifiable currents up to codimension 2, With a preface by Jean E. Taylor and Vladimir Scheffer.
  • 2
    • 34548302576 scopus 로고    scopus 로고
    • The structure of the free boundary for lower dimesional obstacle problems
    • to appear
    • Athanasopoulos, I., Caffarelli, L. A., Salsa, S. (to appear). The structure of the free boundary for lower dimesional obstacle problems. Amer. J. Math.
    • Amer. J. Math
    • Athanasopoulos, I.1    Caffarelli, L.A.2    Salsa, S.3
  • 3
    • 0031444990 scopus 로고    scopus 로고
    • The boundary Harnack principle for the fractional Laplacian
    • Bogdan, K. (1997). The boundary Harnack principle for the fractional Laplacian. Studia Math. 123(1):43-80.
    • (1997) Studia Math , vol.123 , Issue.1 , pp. 43-80
    • Bogdan, K.1
  • 4
    • 0001041533 scopus 로고    scopus 로고
    • Properties of the solutions of the linearized Monge-Ampere equation
    • Caffarelli, L. A., Gutierrez, C. E. (1997). Properties of the solutions of the linearized Monge-Ampere equation. Amer. J. Math. 119(2):423-465.
    • (1997) Amer. J. Math , vol.119 , Issue.2 , pp. 423-465
    • Caffarelli, L.A.1    Gutierrez, C.E.2
  • 5
    • 0040059911 scopus 로고    scopus 로고
    • On viscosity solutions of fully nonlinear equations with measurable ingredients
    • Caffarelli, L., Crandall, M. G., Kocan, M., Swiech, A. (1996). On viscosity solutions of fully nonlinear equations with measurable ingredients. Comm. Pure Appl. Math. 49(4): 365-397.
    • (1996) Comm. Pure Appl. Math , vol.49 , Issue.4 , pp. 365-397
    • Caffarelli, L.1    Crandall, M.G.2    Kocan, M.3    Swiech, A.4
  • 6
    • 0001616703 scopus 로고
    • The Wiener test for degenerate elliptic equations
    • vi, 151-182
    • Fabes, E., Jerison, D., Kenig, C. (1982a). The Wiener test for degenerate elliptic equations. Ann. Inst. Fourier (Grenoble) 32(3):vi, 151-182.
    • (1982) Ann. Inst. Fourier (Grenoble) , vol.32 , Issue.3
    • Fabes, E.1    Jerison, D.2    Kenig, C.3
  • 8
    • 34548323264 scopus 로고    scopus 로고
    • Fabes, E. B., Kenig, C. E., Jerison, D. (1983). Boundary behavior of solutions to degenerate elliptic equations. In Conference on Harmonic Analysis in Honor of Antoni Zygmund, Vols. I, II. (Chicago, Ill., 1981), Wadsworth Math. Ser. Belmont, CA: Wadsworth, pp. 577-589.
    • Fabes, E. B., Kenig, C. E., Jerison, D. (1983). Boundary behavior of solutions to degenerate elliptic equations. In Conference on Harmonic Analysis in Honor of Antoni Zygmund, Vols. I, II. (Chicago, Ill., 1981), Wadsworth Math. Ser. Belmont, CA: Wadsworth, pp. 577-589.
  • 9
    • 34548300544 scopus 로고    scopus 로고
    • Landkof, N. S. (1972). Foundations of Modern Potential Theory. New York: Springer-Verlag. Translated from the Russian by A. P. Doohovskoy, Die Grundlehren der mathematischen Wissenschaften, Band 180.
    • Landkof, N. S. (1972). Foundations of Modern Potential Theory. New York: Springer-Verlag. Translated from the Russian by A. P. Doohovskoy, Die Grundlehren der mathematischen Wissenschaften, Band 180.
  • 10
    • 1542783645 scopus 로고
    • A regularity theorem for a singular elliptic equation
    • Smith, P. D. (1982/83). A regularity theorem for a singular elliptic equation. Applicable Anal. 14(3):223-236.
    • (1982) Applicable Anal , vol.14 , Issue.3 , pp. 223-236
    • Smith, P.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.