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Volumn 171, Issue 3, 2004, Pages 329-348

Two-Phase Problems for Linear Elliptic Operators with Variable Coefficients: Lipschitz Free Boundaries are C1,γ

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EID: 1642273166     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00205-003-0290-5     Document Type: Article
Times cited : (36)

References (10)
  • 1
    • 0001577515 scopus 로고
    • Principe de Harnack à la frontière et théorème de Fatou pour un opérateur elliptique dans un domaine lipschitzien
    • ANCONA, A.: Principe de Harnack à la frontière et théorème de Fatou pour un opérateur elliptique dans un domaine lipschitzien. Ann. Inst. Fourier (Grenoble) 28, 169-213 (1978)
    • (1978) Ann. Inst. Fourier (Grenoble) , vol.28 , pp. 169-213
    • Ancona, A.1
  • 2
    • 0001055847 scopus 로고    scopus 로고
    • Regularity of the free boundary in parabolic phase-transition problems
    • ATHANASOPOULOS, I., CAFFARELLI, L., SALSA, S.: Regularity of the free boundary in parabolic phase-transition problems. Acta Math. 176, 245-282 (1996)
    • (1996) Acta Math. , vol.176 , pp. 245-282
    • Athanasopoulos, I.1    Caffarelli, L.2    Salsa, S.3
  • 4
    • 84990604298 scopus 로고
    • A Harnack inequality approach to the regularity of free boundaries, II: Flat free boundaries are Lipschitz
    • CAFFARELLI, L.: A Harnack inequality approach to the regularity of free boundaries, II: Flat free boundaries are Lipschitz. Comm. Pure Appl Math. 42, 55-78 (1989)
    • (1989) Comm. Pure Appl Math. , vol.42 , pp. 55-78
    • Caffarelli, L.1
  • 5
    • 0000736848 scopus 로고
    • Boundary behavior of nonnegative solutions of elliptic operators in divergence form
    • CAFFARELLI, L., FABES, E., MORTOLA, S., SALSA, S.: Boundary behavior of nonnegative solutions of elliptic operators in divergence form. Indiana Univ. Math. J. 30. 621-640 (1981)
    • (1981) Indiana Univ. Math. J. , vol.30 , pp. 621-640
    • Caffarelli, L.1    Fabes, E.2    Mortola, S.3    Salsa, S.4
  • 7
    • 0040357917 scopus 로고    scopus 로고
    • Regularity for nonisotropic two-phase problems with Lipschitz free boundaries
    • FELDMAN, M.: Regularity for nonisotropic two-phase problems with Lipschitz free boundaries. Diff. Int. Eqs. 10, 1171-1179 (1997)
    • (1997) Diff. Int. Eqs. , vol.10 , pp. 1171-1179
    • Feldman, M.1
  • 8
    • 0040485132 scopus 로고    scopus 로고
    • Regularity of Lipschitz free boundaries in two-phase problems for fully nonlinear elliptic equations
    • FELDMAN, M.: Regularity of Lipschitz free boundaries in two-phase problems for fully nonlinear elliptic equations. Indiana Univ. Math. J. 50, 1171-1200 (2001)
    • (2001) Indiana Univ. Math. J. , vol.50 , pp. 1171-1200
    • Feldman, M.1
  • 9
    • 0002004980 scopus 로고
    • Boundary behavior of harmonic functions in nontangentially accessible domains
    • JERISON, D.S., KENIG, C.E.: Boundary behavior of harmonic functions in nontangentially accessible domains. Adv. Math. 46, 80-147 (1982)
    • (1982) Adv. Math. , vol.46 , pp. 80-147
    • Jerison, D.S.1    Kenig, C.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.