메뉴 건너뛰기




Volumn 103, Issue 3, 2000, Pages 267-298

Optimal interior partial regularity for nonlinear elliptic systems: The method of A-harmonic approximation

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034555619     PISSN: 00252611     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002290070007     Document Type: Article
Times cited : (137)

References (26)
  • 1
    • 0001246518 scopus 로고
    • On the first variation of a varifold
    • Allard, W.K.: On the first variation of a varifold. Annals of Math. 95, 225-254 (1972)
    • (1972) Annals of Math. , vol.95 , pp. 225-254
    • Allard, W.K.1
  • 2
    • 0000557474 scopus 로고
    • Existence and regularity almost everywhere of solutions to elliptic variational problems among surfaces of varying topological type and singularity structure
    • Almgren, F.J.: Existence and regularity almost everywhere of solutions to elliptic variational problems among surfaces of varying topological type and singularity structure. Annals of Math. 87, 321-391 (1968)
    • (1968) Annals of Math. , vol.87 , pp. 321-391
    • Almgren, F.J.1
  • 3
    • 0000910006 scopus 로고
    • Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints
    • Almgren, F.J.: Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints. Mem. A.M.S. 165 (1976)
    • (1976) Mem. A.M.S. , vol.165
    • Almgren, F.J.1
  • 4
    • 0000558272 scopus 로고
    • Regularity theory for almost minimal currents
    • Bombieri, E.: Regularity theory for almost minimal currents. Arch Rational Mech. Anal. 7, 321-380 (1982)
    • (1982) Arch Rational Mech. Anal. , vol.7 , pp. 321-380
    • Bombieri, E.1
  • 5
    • 0001029344 scopus 로고
    • Proprietà di Hölderianità di alcune classi di funzioni
    • Campanato, S.: Proprietà di Hölderianità di alcune classi di funzioni. Ann. Sc. Norm. Sup. Pisa Ser. III 17, 175-188 (1963)
    • (1963) Ann. Sc. Norm. Sup. Pisa Ser. III , vol.17 , pp. 175-188
    • Campanato, S.1
  • 8
    • 0000657529 scopus 로고
    • Un esempio di estremali discontinue per un problema variazionale di tipo ellitico
    • Giorgi, E.: Un esempio di estremali discontinue per un problema variazionale di tipo ellitico. Boll. UMI 4, 135-137 (1968)
    • (1968) Boll. UMI , vol.4 , pp. 135-137
    • Giorgi, E.1
  • 10
  • 11
    • 0012988886 scopus 로고
    • An elementary, direct proof of partial regularity for solutions of certain nonlinear elliptic systems
    • Evans, L.C., Giarrusso, E.: An Elementary, Direct Proof of Partial Regularity for Solutions of Certain Nonlinear Elliptic Systems. Indiana Univ. Math. J. 34, 857-864 (1985)
    • (1985) Indiana Univ. Math. J. , vol.34 , pp. 857-864
    • Evans, L.C.1    Giarrusso, E.2
  • 12
    • 0002038388 scopus 로고
    • p-integrability of the partial derivatives of a quasiconformal map
    • p-integrability of the partial derivatives of a quasiconformal map. Acta math. 130, 265-277 (1973)
    • (1973) Acta Math. , vol.130 , pp. 265-277
    • Gehring, F.W.1
  • 15
    • 0000496328 scopus 로고
    • Nonlinear elliptic systems with quadratic growth
    • Giaquinta, M., Giusti, E.: Nonlinear elliptic systems with quadratic growth. manuscripta math. 24, 323-349 (1973)
    • (1973) Manuscripta Math. , vol.24 , pp. 323-349
    • Giaquinta, M.1    Giusti, E.2
  • 16
    • 84941485344 scopus 로고
    • Regularity results for some classes of higher order nonlinear elliptic systems
    • Giaquinta, M., Modica, G.: Regularity results for some classes of higher order nonlinear elliptic systems. J. Reine Angew. Math. 311/312, 125-169 (1979)
    • (1979) J. Reine Angew. Math. , vol.311-312 , pp. 125-169
    • Giaquinta, M.1    Modica, G.2
  • 17
    • 0001472207 scopus 로고
    • Almost-everywhere regularity results for solutions of nonlinear elliptic systems
    • Giaquinta, M., Modica, G.: Almost-everywhere regularity results for solutions of nonlinear elliptic systems. Manus. Math. 28, 109-158 (1979)
    • (1979) Manus. Math. , vol.28 , pp. 109-158
    • Giaquinta, M.1    Modica, G.2
  • 19
    • 0012557059 scopus 로고
    • Sulla regolarità delle soluzioni deboli di una classe di sistemi ellittici quasi-lineari
    • Giusti, E., Miranda: Sulla regolarità delle soluzioni deboli di una classe di sistemi ellittici quasi-lineari. Arch Rational Mech. Anal. 31, 173-184 (1968)
    • (1968) Arch Rational Mech. Anal. , vol.31 , pp. 173-184
    • Giusti, E.M.1
  • 20
    • 0013001298 scopus 로고
    • Quasimonotonicity, regularity and duality for nonlinear systems of partial differential equations
    • Hamburger, C.: Quasimonotonicity, regularity and duality for nonlinear systems of partial differential equations. Annali Mat. pura appl. 169, 321-354 (1995)
    • (1995) Annali Mat. Pura Appl. , vol.169 , pp. 321-354
    • Hamburger, C.1
  • 21
    • 0031643979 scopus 로고    scopus 로고
    • A new partial regularity proof for solutions of nonlinear elliptic equations
    • Hamburger, C.: A new partial regularity proof for solutions of nonlinear elliptic equations. Manuscripta math. 95, 11-31 (1998)
    • (1998) Manuscripta Math. , vol.95 , pp. 11-31
    • Hamburger, C.1
  • 22
    • 0039424565 scopus 로고
    • Ein regularitätssatz für systeme nichtlinearer elliptischer differentialgleichungen
    • Sperner, E. Jr.: Ein Regularitätssatz für Systeme nichtlinearer elliptischer Differentialgleichungen. Math. Z. 149, 57-68 (1976)
    • (1976) Math. Z. , vol.149 , pp. 57-68
    • Sperner, E.J.1
  • 25
    • 84972544463 scopus 로고
    • A regularity theorem for harmonic maps
    • Schoen, R., Uhlenbeck, K.: A regularity theorem for harmonic maps. J. Diff. Geom. 17, 307-335 (1982)
    • (1982) J. Diff. Geom. , vol.17 , pp. 307-335
    • Schoen, R.1    Uhlenbeck, K.2
  • 26
    • 0000968617 scopus 로고
    • Regularity for a class of non-linear elliptic systems
    • Uhlenbeck, K.: Regularity for a class of non-linear elliptic systems. Acta math. 138, 219-240 (1977)
    • (1977) Acta Math. , vol.138 , pp. 219-240
    • Uhlenbeck, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.