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Volumn 38, Issue 12, 2013, Pages 2081-2106

C 1, α Interior Regularity for Nonlinear Nonlocal Elliptic Equations with Rough Kernels

Author keywords

Elliptic; Interior regularity; Nonlinear; Nonlocal equations

Indexed keywords


EID: 84887105140     PISSN: 03605302     EISSN: 15324133     Source Type: Journal    
DOI: 10.1080/03605302.2013.831990     Document Type: Article
Times cited : (68)

References (9)
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  • 2
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    • Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces
    • to appear
    • Barrios, B., Figalli, A., Valdinoci, E. Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces. Ann. Scuola Norm. Sup. Pisa Cl. Sci., to appear.
    • Ann. Scuola Norm. Sup. Pisa Cl. Sci.
    • Barrios, B.1    Figalli, A.2    Valdinoci, E.3
  • 3
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    • Regularity results for stable-like operators
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    • (2009) J. Funct. Anal. , vol.257 , pp. 2693-2722
    • Bass, R.F.1
  • 4
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    • American Mathematical Society Colloquium Publications, Providence, RI, American Mathematical Society
    • Caffarelli, L., Cabré, X. (1995). Fully Nonlinear Elliptic Equations. American Mathematical Society Colloquium Publications, vol. 43. Providence, RI: American Mathematical Society.
    • (1995) Fully Nonlinear Elliptic Equations , vol.43
    • Caffarelli, L.1    Cabré, X.2
  • 5
    • 68049121967 scopus 로고    scopus 로고
    • Regularity theory for fully nonlinear integro-differential equations
    • Caffarelli, L., Silvestre, L. (2009). Regularity theory for fully nonlinear integro-differential equations. Comm. Pure Appl. Math. 62: 597 - 638.
    • (2009) Comm. Pure Appl. Math. , vol.62 , pp. 597-638
    • Caffarelli, L.1    Silvestre, L.2
  • 6
    • 80051771417 scopus 로고    scopus 로고
    • The Evans-Krylov theorem for nonlocal fully nonlinear equations
    • Caffarelli, L., Silvestre, L. (2011). The Evans-Krylov theorem for nonlocal fully nonlinear equations. Ann. Math. 174: 1163 - 1187.
    • (2011) Ann. Math. , vol.174 , pp. 1163-1187
    • Caffarelli, L.1    Silvestre, L.2
  • 7
    • 79952706153 scopus 로고    scopus 로고
    • Regularity results for nonlocal equations by approximation
    • Caffarelli, L., Silvestre, L. (2011). Regularity results for nonlocal equations by approximation. Arch. Ration. Mech. Anal. 200: 59 - 88.
    • (2011) Arch. Ration. Mech. Anal. , vol.200 , pp. 59-88
    • Caffarelli, L.1    Silvestre, L.2
  • 8
    • 84872128627 scopus 로고    scopus 로고
    • Schauder estimates for a class of non-local elliptic equations
    • Dong, H., Kim, D., (2013). Schauder estimates for a class of non-local elliptic equations. DCDS-A 33: 2319 - 2347.
    • (2013) DCDS-A , vol.33 , pp. 2319-2347
    • Dong, H.1    Kim, D.2
  • 9
    • 33646945027 scopus 로고
    • The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations
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    • (1988) Arch. Rational Mech. Anal. , vol.101 , pp. 1-27
    • Jensen, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.