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Volumn 27, Issue 1, 2016, Pages 15-24

A note on global regularity for the weak solutions of fractional p-Laplacian equations

Author keywords

Boundary regularity; Fractional p Laplacian; Fractional Sobolev spaces; Holder regularity

Indexed keywords

BOUNDARY VALUE PROBLEMS; MATHEMATICAL OPERATORS; SOBOLEV SPACES;

EID: 84958773803     PISSN: 11206330     EISSN: 17200768     Source Type: Journal    
DOI: 10.4171/RLM/719     Document Type: Article
Times cited : (21)

References (13)
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    • L. Brasco-E. Parini, The second eigenvalue of the fractional p-Laplacian, to appear in Adv. Calc. Var. (2016), doi:10.1515/acv-2015-0007.
    • (2016) Adv. Calc. Var
    • Brasco, L.1    Parini, E.2
  • 2
    • 68049121967 scopus 로고    scopus 로고
    • Regularity theory for fully nonlinear integro-differential equations
    • L. Caffarelli-L. Silvestre, Regularity theory for fully nonlinear integro-differential equations, Comm. Pure Appl. Math. 62 (2009), 597-638.
    • (2009) Comm. Pure Appl. Math , vol.62 , pp. 597-638
    • Caffarelli, L.1    Silvestre, L.2
  • 4
    • 84964692143 scopus 로고    scopus 로고
    • Existence results for fractional p-laplacian problems via morse theory
    • to appear in
    • A. Iannizzotto-S. Liu-K. Perera-M. Squassina, Existence results for fractional p-Laplacian problems via Morse theory, to appear in Adv. Calc. Var., doi:10.1515/acv-2014-0024.
    • Adv. Calc. Var
    • Iannizzotto, A.1    Liu, S.2    Perera, K.3    Squassina, M.4
  • 6
  • 7
    • 84928738414 scopus 로고    scopus 로고
    • Nonlocal equations with measure data
    • T. Kuusi-G. Mingione-Y. Sire, Nonlocal equations with measure data, Commun. Math. Phys. 337 (2015), 1317-1368.
    • (2015) Commun. Math. Phys , vol.337 , pp. 1317-1368
    • Kuusi, T.1    Mingione, G.2    Sire, Y.3
  • 10
    • 84894498072 scopus 로고    scopus 로고
    • The dirichlet problem for the fractional laplacian: Regularity up to the boundary
    • X. Ros-Oton-J. Serra, The Dirichlet problem for the fractional Laplacian: regularity up to the boundary, J. Math. Pures Appl. 101 (2014), 275-302.
    • (2014) J. Math. Pures Appl , vol.101 , pp. 275-302
    • Ros-Oton, X.1    Serra, J.2
  • 11
    • 84901626206 scopus 로고    scopus 로고
    • The pohozaev identity for the fractional laplacian
    • X. Ros-Oton-J. Serra, The Pohozaev identity for the fractional Laplacian, Arch. Ration. Mech. Anal. 213 (2014), 587-628.
    • (2014) Arch. Ration. Mech. Anal , vol.213 , pp. 587-628
    • Ros-Oton, X.1    Serra, J.2
  • 13
    • 33747032243 scopus 로고    scopus 로고
    • Hölder estimates for solutions of integro-differential equations like the fractional laplace Indiana
    • L. Silvestre, Hölder estimates for solutions of integro-differential equations like the fractional Laplace, Indiana Univ. Math. J. 55 (2006), 1155-1174.
    • (2006) Univ. Math. J , vol.55 , pp. 1155-1174
    • Silvestre, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.