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Communications on Pure and Applied Mathematics
Volumn 62, Issue 5, 2009, Pages 597-638
Regularity theory for fully nonlinear integro-differential equations
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EID: 68049121967     PISSN: 00103640     EISSN: 00103640     Source Type: Journal    
DOI: 10.1002/cpa.20274     Document Type: Article
Times cited : (618)
References (12)
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    • Harnack inequalities for non-local operators of variable order
    • (electronic)
    • Bass, R. F.; Kassmann, M. Harnack inequalities for non-local operators of variable order. Trans. Amer. Math. Soc. 357 (2005), no. 2, 837-850 (electronic).
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    • Bass, R.F.1    Kassmann, M.2
  • 4
    • 27744559009 scopus 로고    scopus 로고
    • Hölder continuity of harmonic functions with respect to operators of variable order
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  • 5
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    • Bass, R.F.1    Levin, D.A.2
  • 6
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    • Interior a priori estimates for solutions of fully nonlinear equations
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    • Caffarelli, L.A.1
  • 7
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    • 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
  • 8
    • 84990575194 scopus 로고
    • On uniqueness and existence of viscosity solutions of fully nonlinear second-order elliptic PDEs
    • Ishii, H. On uniqueness and existence of viscosity solutions of fully nonlinear second-order elliptic PDEs. Comm. Pure Appl. Math. 42 (1989), no. 1, 15-45.
    • (1989) Comm. Pure Appl. Math. , vol.42 , Issue.1 , pp. 15-45
    • Ishii, H.1
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    • The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations
    • Jensen, R. The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations. Arch. Rational Mech. Anal. 101 (1988), no. 1, 1-27.
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    • Jensen, R.1
  • 10
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    • Hölder estimates for solutions of integro-differential equations like the fractional Laplace
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    • Silvestre, L.1
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    • Optimal control with state-space constraint. II
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