메뉴 건너뛰기




Volumn 336, Issue 3, 2006, Pages 617-637

Applications of the differential calculus to nonlinear elliptic operators with discontinuous coefficients

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33748861644     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00208-006-0014-x     Document Type: Article
Times cited : (23)

References (28)
  • 2
    • 14844329076 scopus 로고    scopus 로고
    • Elliptic equations with BMO coefficients in Lipschitz domains
    • Byun, S.-S.: Elliptic equations with BMO coefficients in Lipschitz domains. Trans. Am. Math. Soc. 357, 1025-1046 (2005)
    • (2005) Trans. Am. Math. Soc. , vol.357 , pp. 1025-1046
    • Byun, S.-S.1
  • 3
    • 4544307605 scopus 로고    scopus 로고
    • Elliptic equations with BMO coefficients in Reifenberg domains
    • Byun, S.-S., Wang, L.: Elliptic equations with BMO coefficients in Reifenberg domains. Commun. Pure Appl. Math. 57, 1283-1310 (2004)
    • (2004) Commun. Pure Appl. Math. , vol.57 , pp. 1283-1310
    • Byun, S.-S.1    Wang, L.2
  • 4
    • 17744369923 scopus 로고    scopus 로고
    • The conormal derivative problem for elliptic equations with BMO coefficients on Reifenberg flat domains
    • Byun, S.-S., Wang, L.: The conormal derivative problem for elliptic equations with BMO coefficients on Reifenberg flat domains. Proc. Lond. Math. Soc. 90(3), 245-272 (2005)
    • (2005) Proc. Lond. Math. Soc. , vol.90 , Issue.3 , pp. 245-272
    • Byun, S.-S.1    Wang, L.2
  • 5
    • 0000898166 scopus 로고
    • Interior a priori estimates for solutions of fully non-linear equations
    • Caffarelli, L.A.: Interior a priori estimates for solutions of fully non-linear equations. Ann. Math. 130(2), 189-213 (1989)
    • (1989) Ann. Math. , vol.130 , Issue.2 , pp. 189-213
    • Caffarelli, L.A.1
  • 7
    • 0038678825 scopus 로고
    • Un risultato relativo ad equazioni ellittiche del seconde ordine di tipo non variazionale
    • Campanato, S.: Un risultato relativo ad equazioni ellittiche del seconde ordine di tipo non variazionale. Ann. Scuola Norm. Sup. Pisa 21, 701-707 (1967)
    • (1967) Ann. Scuola Norm. Sup. Pisa , vol.21 , pp. 701-707
    • Campanato, S.1
  • 8
    • 0000061999 scopus 로고
    • On the condition of nearness between operators
    • Campanato, S.: On the condition of nearness between operators. Ann. Mat. Pura Appl. 167, 243-256 (1994)
    • (1994) Ann. Mat. Pura Appl. , vol.167 , pp. 243-256
    • Campanato, S.1
  • 9
    • 0001569352 scopus 로고
    • 2,p-solvability of the Dirichlet problem for non divergence elliptic equations with VMO coefficients
    • 2,p-solvability of the Dirichlet problem for non divergence elliptic equations with VMO coefficients. Trans. Am. Math. Soc. 336, 841-853 (1993)
    • (1993) Trans. Am. Math. Soc. , vol.336 , pp. 841-853
    • Chiarenza, F.1    Frasca, M.2    Longo, P.3
  • 10
    • 0001661927 scopus 로고    scopus 로고
    • Oblique derivative problem for quasilinear elliptic equations with VMO coefficients
    • Di Fazio, G., Palagachev, D.K.: Oblique derivative problem for quasilinear elliptic equations with VMO coefficients. Bull. Aust. Math. Soc. 53, 501-513 (1996)
    • (1996) Bull. Aust. Math. Soc. , vol.53 , pp. 501-513
    • Di Fazio, G.1    Palagachev, D.K.2
  • 12
    • 0036039383 scopus 로고    scopus 로고
    • Linear elliptic boundary value problems with non-smooth data: Campanato spaces of functionals
    • Griepentrog, J. A.: Linear elliptic boundary value problems with non-smooth data: Campanato spaces of functionals. Mathem. Nachr. 243, 19-42 (2002)
    • (2002) Mathem. Nachr. , vol.243 , pp. 19-42
    • Griepentrog, J.A.1
  • 13
    • 0003005596 scopus 로고    scopus 로고
    • Linear elliptic boundary value problems with non-smooth data: Normal solvability in Sobolev-Campanato spaces
    • Griepentrog, J.A., Recke, L.: Linear elliptic boundary value problems with non-smooth data: Normal solvability in Sobolev-Campanato spaces. Mathem. Nachr. 225, 39-74 (2001)
    • (2001) Mathem. Nachr. , vol.225 , pp. 39-74
    • Griepentrog, J.A.1    Recke, L.2
  • 14
    • 0000120084 scopus 로고
    • 1,p - Estimate for solutions to mixed boundary value problems for second order elliptic differential equations
    • 1,p - estimate for solutions to mixed boundary value problems for second order elliptic differential equations. Math. Ann. 283, 679-387 (1989)
    • (1989) Math. Ann. , vol.283 , pp. 679-1387
    • Gröger, K.1
  • 15
    • 18344416438 scopus 로고    scopus 로고
    • Preduals of Campanato and Sobolev-Campanato spaces: A general approach
    • Gröger, K., Recke, L.: Preduals of Campanato and Sobolev-Campanato spaces: a general approach. Math. Nachr. 230, 45-72 (2001)
    • (2001) Math. Nachr. , vol.230 , pp. 45-72
    • Gröger, K.1    Recke, L.2
  • 16
    • 33751537654 scopus 로고    scopus 로고
    • Applications of differential calculus to quasilinear elliptic boundary value problems with non-smooth data
    • to appear
    • Gröger, K., Recke, L.: Applications of differential calculus to quasilinear elliptic boundary value problems with non-smooth data. Nonl. Differ. Equat. Appl. (NoDEA) (2006) (to appear)
    • (2006) Nonl. Differ. Equat. Appl. (NoDEA)
    • Gröger, K.1    Recke, L.2
  • 17
    • 84980082306 scopus 로고
    • On functions of bounded mean oscillation
    • John, F., Nirenberg, L.: On functions of bounded mean oscillation. Commun. Pure Appl. Math. 14, 415-426 (1961)
    • (1961) Commun. Pure Appl. Math. , vol.14 , pp. 415-426
    • John, F.1    Nirenberg, L.2
  • 18
    • 84956237283 scopus 로고
    • A survey of results on the solubility of boundaryvalue problems for second-order uniformly elliptic and parabolic quasi-linear equations having unbounded singularities
    • Ladyzhenskaya, O.A., Ural'tseva, N.N.: A survey of results on the solubility of boundaryvalue problems for second-order uniformly elliptic and parabolic quasi-linear equations having unbounded singularities. Russ. Math. Surv. 41(5), 1-31 (1986)
    • (1986) Russ. Math. Surv. , vol.41 , Issue.5 , pp. 1-31
    • Ladyzhenskaya, O.A.1    Ural'tseva, N.N.2
  • 19
    • 0032412393 scopus 로고    scopus 로고
    • Boundary value problem with an oblique derivative for uniformly elliptic operators with discontinuous coefficients
    • Maugeri, A., Palagachev, D.K.: Boundary value problem with an oblique derivative for uniformly elliptic operators with discontinuous coefficients. Forum Math. 10, 393-405 (1998)
    • (1998) Forum Math. , vol.10 , pp. 393-405
    • Maugeri, A.1    Palagachev, D.K.2
  • 20
    • 10844283460 scopus 로고    scopus 로고
    • Elliptic and parabolic equations with discontinuous coefficients
    • Wiley-VCH, Berlin
    • Maugeri, A., Palagachev, D.K., Softova, L.G.: Elliptic and Parabolic Equations with Discontinuous Coefficients. Math. Res. 109, Wiley-VCH, Berlin (2000)
    • (2000) Math. Res. , vol.109
    • Maugeri, A.1    Palagachev, D.K.2    Softova, L.G.3
  • 21
    • 2142838267 scopus 로고
    • Global strong solvability of Dirichlet problem for a class of nonlinear elliptic equations in the plane
    • Palagachev, D.K.: Global strong solvability of Dirichlet problem for a class of nonlinear elliptic equations in the plane. Le Matematiche 48, 311-321 (1993)
    • (1993) Le Matematiche , vol.48 , pp. 311-321
    • Palagachev, D.K.1
  • 22
    • 0000028675 scopus 로고
    • Quasilinear elliptic equations with VMO coefficients
    • Palagachev, D.K.: Quasilinear elliptic equations with VMO coefficients. Trans. Am. Math. Soc. 347, 2481-2493 (1995)
    • (1995) Trans. Am. Math. Soc. , vol.347 , pp. 2481-2493
    • Palagachev, D.K.1
  • 23
    • 33748853673 scopus 로고
    • Dirichlet problem for a class of second order nonlinear elliptic equations
    • Plovdiv 1994. VSP International Science Publishers, Zeist
    • Palagachev, D.K.: Dirichlet problem for a class of second order nonlinear elliptic equations. In: Proc. Fifth int. coll. differ. equations, Plovdiv 1994. VSP International Science Publishers, Zeist, pp 273-282 (1995)
    • (1995) Proc. Fifth Int. Coll. Diffe. Equations , pp. 273-282
    • Palagachev, D.K.1
  • 24
    • 0009888008 scopus 로고
    • Applications of the implicit function theorem to quasilinear elliptic boundary value problems with non-smooth data
    • Recke, L.: Applications of the implicit function theorem to quasilinear elliptic boundary value problems with non-smooth data. Commun. Partial Differ. Equal. 20, 1457-1479 (1995)
    • (1995) Commun. Partial Differ. Equal. , vol.20 , pp. 1457-1479
    • Recke, L.1
  • 25
    • 84946916764 scopus 로고
    • Functions of vanishing mean oscillation
    • Sarason, D.: Functions of vanishing mean oscillation. Trans. Am. Math. Soc. 207, 391-405 (1975)
    • (1975) Trans. Am. Math. Soc. , vol.207 , pp. 391-405
    • Sarason, D.1
  • 26
    • 21944440362 scopus 로고    scopus 로고
    • An integral estimate for the gradient for a class of nonlinear elliptic equations in the plane
    • Softova, L.G.: An integral estimate for the gradient for a class of nonlinear elliptic equations in the plane. Z. Anal. Anwend. 17, 57-66 (1998)
    • (1998) Z. Anal. Anwend. , vol.17 , pp. 57-66
    • Softova, L.G.1
  • 27
    • 33748862564 scopus 로고
    • A nonlinear boundary value problem for elliptic equations of general form (partial differential equations)
    • in Russian
    • Tulenbaev, K.S., Ural'tseva, N.N.: A nonlinear boundary value problem for elliptic equations of general form (Partial Differential Equations, Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk) 133, 95-112 (1987) (in Russian)
    • (1987) Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk , vol.133 , pp. 95-112
    • Tulenbaev, K.S.1    Ural'tseva, N.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.