메뉴 건너뛰기




Volumn 36, Issue 3, 1999, Pages 295-318

A class of De Giorgi type and Hölder continuity

Author keywords

H lder continuity; Minimizers; Sobolev spaces; Weak solutions

Indexed keywords

FUNCTIONS; MATHEMATICAL MODELS; THEOREM PROVING; VARIATIONAL TECHNIQUES;

EID: 0033132638     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00628-7     Document Type: Article
Times cited : (279)

References (21)
  • 1
    • 38149147126 scopus 로고
    • Partial regularity under anisotropic (p, q) growth conditions
    • E. Acerbi, N. Fusco, Partial regularity under anisotropic (p, q) growth conditions, J. Differential Equations 107 (1994) 46-67.
    • (1994) J. Differential Equations , vol.107 , pp. 46-67
    • Acerbi, E.1    Fusco, N.2
  • 2
    • 0003180354 scopus 로고
    • A transmission problem in the calculus of variations
    • E. Acerbi, N. Fusco, A transmission problem in the calculus of variations, Calc. Var. 2 (1994) 1-16.
    • (1994) Calc. Var. , vol.2 , pp. 1-16
    • Acerbi, E.1    Fusco, N.2
  • 3
    • 0002412307 scopus 로고
    • Sulla differenziabilità e 1'analiticità delle estremali degli integrali multipli regolari
    • E. De Giorgi, Sulla differenziabilità e 1'analiticità delle estremali degli integrali multipli regolari, Mem. Accad. Sci. Torino 3 (3) (1957) 25-43.
    • (1957) Mem. Accad. Sci. Torino , vol.3 , Issue.3 , pp. 25-43
    • De Giorgi, E.1
  • 4
    • 0001472514 scopus 로고
    • 1-α local regularity of weak solutions of degenerate elliptic equations
    • 1-α local regularity of weak solutions of degenerate elliptic equations, Nonlinear, Anal. TMA 7 (1983) 827-850.
    • (1983) Nonlinear, Anal. TMA , vol.7 , pp. 827-850
    • Di Benedetto, E.1
  • 6
    • 0000247130 scopus 로고
    • Nonlinear elliptic boundary value problems in Orlicz-Sobolev space
    • T. Donaldson, Nonlinear elliptic boundary value problems in Orlicz-Sobolev space, J. Differential Equations 10 (1971) 507-528.
    • (1971) J. Differential Equations , vol.10 , pp. 507-528
    • Donaldson, T.1
  • 7
    • 0000008311 scopus 로고
    • 1,α regularity for solutions of certain degenerate elliptic p.d.e
    • 1,α regularity for solutions of certain degenerate elliptic p.d.e., J. Differential Equations 45 (1982) 356-373.
    • (1982) J. Differential Equations , vol.45 , pp. 356-373
    • Evans, L.C.1
  • 8
    • 84963186159 scopus 로고
    • Some remarks on the regularity of minima of anisotropic integrals
    • N. Fusco, C. Sbordone, Some remarks on the regularity of minima of anisotropic integrals, Comm. Partial Differential Equations 18 (1993) 153-167.
    • (1993) Comm. Partial Differential Equations , vol.18 , pp. 153-167
    • Fusco, N.1    Sbordone, C.2
  • 10
    • 0001686552 scopus 로고
    • Growth conditions and regularity, a counterexample
    • M. Giaquinta, Growth conditions and regularity, a counterexample, Manuscr. Math. 59 (1987) 245-248.
    • (1987) Manuscr. Math. , vol.59 , pp. 245-248
    • Giaquinta, M.1
  • 11
    • 0001812542 scopus 로고
    • On the regularity of the minima of variational integrals
    • M. Giaquinta, E. Giusti, On the regularity of the minima of variational integrals, Acta Math. 148 (1982) 31-46.
    • (1982) Acta Math. , vol.148 , pp. 31-46
    • Giaquinta, M.1    Giusti, E.2
  • 12
    • 0002365723 scopus 로고
    • Some remarks on the minimizers of variational integrals with nonstandard growth conditions
    • M.-C. Hong, Some remarks on the minimizers of variational integrals with nonstandard growth conditions, Boll. Unione Mat. Ital. Ser. A 6 (7) (1992) 91-102.
    • (1992) Boll. Unione Mat. Ital. Ser. A , vol.6 , Issue.7 , pp. 91-102
    • Hong, M.-C.1
  • 14
    • 0001196870 scopus 로고
    • Regularity of minimizers of integrals of the calculus of variations with nonstandard growth conditions
    • P. Marcellini, Regularity of minimizers of integrals of the calculus of variations with nonstandard growth conditions, Arch. Rat. Mech. Anal. 105 (1989) 267-284.
    • (1989) Arch. Rat. Mech. Anal. , vol.105 , pp. 267-284
    • Marcellini, P.1
  • 15
    • 0001812746 scopus 로고
    • Regularity and existence of solutions of elliptic equations with p, q-growth conditions
    • P. Marcellini, Regularity and existence of solutions of elliptic equations with p, q-growth conditions, J. Differential Equations 90 (1991) 1-30.
    • (1991) J. Differential Equations , vol.90 , pp. 1-30
    • Marcellini, P.1
  • 17
    • 0000030970 scopus 로고
    • Relative rearrangement in quasilinear variational elliptic inequalities
    • J.M. Rakotoson, R. Temam, Relative rearrangement in quasilinear variational elliptic inequalities, Indiana Univ. Math. J. 36 (1987).
    • (1987) Indiana Univ. Math. J. , vol.36
    • Rakotoson, J.M.1    Temam, R.2
  • 18
    • 0000968617 scopus 로고
    • Regularity for a class of non-linear elliptic systems
    • K. Uhlenbeck, Regularity for a class of non-linear elliptic systems, Acta Math. 138 (1977) 219-240.
    • (1977) Acta Math. , vol.138 , pp. 219-240
    • Uhlenbeck, K.1
  • 19
    • 79953907620 scopus 로고
    • Averaging of functionals of the calculus of variations and elasticity theory
    • V.V. Zhikov, Averaging of functionals of the calculus of variations and elasticity theory, Math. USSR Izv. 29 (1987) 33-36.
    • (1987) Math. USSR Izv. , vol.29 , pp. 33-36
    • Zhikov, V.V.1
  • 20
    • 0002378833 scopus 로고
    • On passing to the limit in nonlinear variational problem
    • V.V. Zhikov, On passing to the limit in nonlinear variational problem, Mat. Sbornik 183 (8) (1992) 47-84.
    • (1992) Mat. Sbornik , vol.183 , Issue.8 , pp. 47-84
    • Zhikov, V.V.1
  • 21
    • 0022562623 scopus 로고
    • Boundary regularity for quasiminima
    • W.P. Ziemer, Boundary regularity for quasiminima, Arch. Rat. Mech. Anal. 92 (4) (1986) 371-382.
    • (1986) Arch. Rat. Mech. Anal. , vol.92 , Issue.4 , pp. 371-382
    • Ziemer, W.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.