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Volumn 72, Issue 3, 2005, Pages 609-620

Partial regularity of the minimizers of quadratic functionals with VMO coefficients

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EID: 29144454979     PISSN: 00246107     EISSN: 14697750     Source Type: Journal    
DOI: 10.1112/S002461070500699X     Document Type: Article
Times cited : (75)

References (31)
  • 1
    • 0001430761 scopus 로고
    • On BMO-regularity for linear elliptic systems
    • P. ACQUISTAPACE, 'On BMO-regularity for linear elliptic systems', Ann. Mat. Pura Appl. 161 (1992) 231-269.
    • (1992) Ann. Mat. Pura Appl. , vol.161 , pp. 231-269
    • Acquistapace, P.1
  • 3
    • 3042520606 scopus 로고    scopus 로고
    • 2,λ -regularity for minima of variational integrals
    • 2,λ -regularity for minima of variational integrals', Boll. Un. Mat. Ital. B 8 (2003) 39-48.
    • (2003) Boll. Un. Mat. Ital. B , vol.8 , pp. 39-48
    • Daněček, J.1    Viszus, E.2
  • 4
    • 0000657529 scopus 로고
    • Un esempio di estremali discontinue per un problema variazionale di tipo ellittico
    • E. DE GIORGI, 'Un esempio di estremali discontinue per un problema variazionale di tipo ellittico', Boll. Un. Mat. Ital. 4 (1968) 135-137.
    • (1968) Boll. Un. Mat. Ital. , vol.4 , pp. 135-137
    • De Giorgi, E.1
  • 8
    • 0002180062 scopus 로고
    • Partial regularity for the solution to nonlinear parabolic systems
    • M. GIAQUINTA and E. GIUSTI, 'Partial regularity for the solution to nonlinear parabolic systems', Ann. Mat. Pura Appl. 47 (1973) 253-266.
    • (1973) Ann. Mat. Pura Appl. , vol.47 , pp. 253-266
    • Giaquinta, M.1    Giusti, E.2
  • 9
    • 0000496328 scopus 로고
    • Nonlinear elliptic systems with quadratic growth
    • M. GIAQUINTA and E. GIUSTI, 'Nonlinear elliptic systems with quadratic growth', Manuscripta Math. 24 (1978) 323-349.
    • (1978) Manuscripta Math. , vol.24 , pp. 323-349
    • Giaquinta, M.1    Giusti, E.2
  • 10
    • 0001812542 scopus 로고
    • On the regularity of the minima of variational integrals
    • M. GIAQUINTA and E. GIUSTI, 'On the regularity of the minima of variational integrals', Acts Math. 148 (1982) 31-46.
    • (1982) Acts Math. , vol.148 , pp. 31-46
    • Giaquinta, M.1    Giusti, E.2
  • 11
    • 0001021094 scopus 로고
    • Differentiability of minima non-differentiable functional
    • M. GIAQUINTA and E. GIUSTI, 'Differentiability of minima non-differentiable functional', Invent. Math. 72 (1983) 285-298.
    • (1983) Invent. Math. , vol.72 , pp. 285-298
    • Giaquinta, M.1    Giusti, E.2
  • 13
    • 84941485344 scopus 로고
    • Regularity results for some classes of higher order nonlinear elliptic systems
    • M. GIAQUINTA and G. MODICA, 'Regularity results for some classes of higher order nonlinear elliptic systems', J. Reine Angew. Math. 311/312 (1979) 146-169.
    • (1979) J. Reine Angew. Math. , vol.311-312 , pp. 146-169
    • Giaquinta, M.1    Modica, G.2
  • 14
    • 0001472207 scopus 로고
    • Almost-everywhere regularity results for solutions of nonlinear elliptic systems
    • M. GIAQUINTA and G. MODICA, 'Almost-everywhere regularity results for solutions of nonlinear elliptic systems', Manuscript Math. 28 (1979) 109-158.
    • (1979) Manuscript Math. , vol.28 , pp. 109-158
    • Giaquinta, M.1    Modica, G.2
  • 15
    • 0346098700 scopus 로고
    • Regolarita' parziale delle soluzioni di sistemi ellittici quasi lineari di ordine arbitrario
    • E. GIUSTI, 'Regolarita' parziale delle soluzioni di sistemi ellittici quasi lineari di ordine arbitrario', Ann. Scuola Norm. Sup. Pisa 23 (1969) 115-141.
    • (1969) Ann. Scuola Norm. Sup. Pisa , vol.23 , pp. 115-141
    • Giusti, E.1
  • 17
    • 0012557059 scopus 로고
    • Sulla regolarita' delle soluzioni di una classe di sistemi ellittici quasilineari
    • E. GIUSTI and M. MIRANDA, 'Sulla regolarita' delle soluzioni di una classe di sistemi ellittici quasilineari', Arch. Rational Mech. Anal. 31 (1968) 173-184.
    • (1968) Arch. Rational Mech. Anal. , vol.31 , pp. 173-184
    • Giusti, E.1    Miranda, M.2
  • 18
    • 0000657537 scopus 로고
    • Un esempio di soluzioni discontinue per un problema di minimo relativo ad un integrale regolare del calcolo delle variazioni
    • E. GIUSTI and M. MIRANDA, 'Un esempio di soluzioni discontinue per un problema di minimo relativo ad un integrale regolare del calcolo delle variazioni', Boll. Un. Mat. Ital. 2 (1968) 1-8.
    • (1968) Boll. Un. Mat. Ital. , vol.2 , pp. 1-8
    • Giusti, E.1    Miranda, M.2
  • 19
    • 0005496743 scopus 로고    scopus 로고
    • p, λ and BMO for linear elliptic systems
    • p, λ and BMO for linear elliptic systems', Indiana Univ. Math. J. 45 (1996) 397-439.
    • (1996) Indiana Univ. Math. J. , vol.45 , pp. 397-439
    • Huang, Q.1
  • 20
    • 84980082306 scopus 로고
    • On functions of bounded mean oscillation
    • F. JOHN and L. NIRENBERG, 'On functions of bounded mean oscillation', Comm. Pure Appl. Math. 14 (1961) 415-476.
    • (1961) Comm. Pure Appl. Math. , vol.14 , pp. 415-476
    • John, F.1    Nirenberg, L.2
  • 22
    • 34250508156 scopus 로고
    • Examples of nonregular solutions of quasilinear elliptic equations with analytic coefficients
    • V. G. MAZ'YA, 'Examples of nonregular solutions of quasilinear elliptic equations with analytic coefficients', Funktsional. Anal, i Prilozhen. 2 (1968) 53-57.
    • (1968) Funktsional. Anal, i Prilozhen. , vol.2 , pp. 53-57
    • Maz'ya, V.G.1
  • 24
    • 0008429538 scopus 로고
    • Partial regularity results for nonlinear elliptic systems
    • C. B. MORREY JR., 'Partial regularity results for nonlinear elliptic systems', J. Math. Mech. 17 (1969) 649-670.
    • (1969) J. Math. Mech. , vol.17 , pp. 649-670
    • Morrey Jr., C.B.1
  • 25
    • 51249191366 scopus 로고
    • 1, p (Ω), 1 < p < 2, di sistemi ellittici quasilineari
    • 1, p (Ω), 1 < p < 2, di sistemi ellittici quasilineari', Ann. Univ. Ferrara 8 (1971) 129-148.
    • (1971) Ann. Univ. Ferrara , vol.8 , pp. 129-148
    • Pepe, L.1
  • 26
    • 22844457030 scopus 로고    scopus 로고
    • Regularity of solutions of divergence from elliptic equations'
    • M. A. RAGUSA, 'Regularity of solutions of divergence from elliptic equations', Proc. Amer. Math. Soc. 128 (1999) 533-540.
    • (1999) Proc. Amer. Math. Soc. , vol.128 , pp. 533-540
    • Ragusa, M.A.1
  • 27
    • 84946916764 scopus 로고
    • On functions of vanishing mean oscillation
    • D. SARASON, 'On functions of vanishing mean oscillation', Trans. Amer. Math. Soc. 207 (1975) 391-105.
    • (1975) Trans. Amer. Math. Soc. , vol.207 , pp. 391-1105
    • Sarason, D.1
  • 28
    • 0010567798 scopus 로고
    • Singular solutions to linear elliptic systems
    • J. SOUČEK, 'Singular solutions to linear elliptic systems', Comment. Math. Univ. Carolin. 23 (1984) 273-281.
    • (1984) Comment. Math. Univ. Carolin. , vol.23 , pp. 273-281
    • Souček, J.1
  • 30
    • 0035592918 scopus 로고    scopus 로고
    • Elliptic systems of PDE with BMO-coefficients
    • B. STROFFOLINI, 'Elliptic systems of PDE with BMO-coefficients', Potential Anal. 15 (2001) 285-299.
    • (2001) Potential Anal. , vol.15 , pp. 285-299
    • Stroffolini, B.1
  • 31
    • 0001397093 scopus 로고
    • On interior regularity and Liouville's theorem for harmonic mappings
    • A. TACHIKAWA, 'On interior regularity and Liouville's theorem for harmonic mappings', Manuscripta Math. 42 (1983) 11-40.
    • (1983) Manuscripta Math. , vol.42 , pp. 11-40
    • Tachikawa, A.1


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