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Volumn 253, Issue 2, 2001, Pages 640-650

Differentiability for Bounded Minimizers of Some Anisotropic Integrals

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EID: 18044364987     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.7186     Document Type: Article
Times cited : (14)

References (29)
  • 1
    • 38149147126 scopus 로고
    • Partial regularity under anisotropic (p,q) growth conditions
    • Acerbi E., Fusco N. 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
  • 3
    • 33845216010 scopus 로고
    • 2,2 regularity for weak solutions of elliptic systems with non-standard growth
    • 2,2 regularity for weak solutions of elliptic systems with non-standard growth. J. Math. Anal. Appl. 176:1993;224-234.
    • (1993) J. Math. Anal. Appl. , vol.176 , pp. 224-234
    • Bhattacharya, T.1    Leonetti, F.2
  • 4
    • 0007031429 scopus 로고    scopus 로고
    • On improved regularity of weak solutions of some degenerate, anisotropic elliptic systems
    • Bhattacharya T., Leonetti F. On improved regularity of weak solutions of some degenerate, anisotropic elliptic systems. Ann. Mat. Pura Appl. 170:1996;241-255.
    • (1996) Ann. Mat. Pura Appl. , vol.170 , pp. 241-255
    • Bhattacharya, T.1    Leonetti, F.2
  • 5
    • 0001300313 scopus 로고
    • ∞ regularity for variational problems with sharp non standard growth conditions
    • ∞ regularity for variational problems with sharp non standard growth conditions. Boll. Un. Mat. Ital. A. 4:1990;219-225.
    • (1990) Boll. Un. Mat. Ital. A , vol.4 , pp. 219-225
    • Boccardo, L.1    Marcellini, P.2    Sbordone, C.3
  • 6
    • 0007031431 scopus 로고
    • Differentiability and partial Hölder continuity of the solutions of nonlinear elliptic systems of order 2m with quadratic growth
    • Campanato S., Cannarsa P. Differentiability and partial Hölder continuity of the solutions of nonlinear elliptic systems of order 2m with quadratic growth. Ann. Scuola Norm. Sup. Pisa. 8:1981;285-309.
    • (1981) Ann. Scuola Norm. Sup. Pisa , vol.8 , pp. 285-309
    • Campanato, S.1    Cannarsa, P.2
  • 8
    • 0000687206 scopus 로고
    • Interior behaviour of minimizers for certain functionals with non standard growth
    • Choe H. J. Interior behaviour of minimizers for certain functionals with non standard growth. Nonlinear Anal. 19:1992;933-945.
    • (1992) Nonlinear Anal. , vol.19 , pp. 933-945
    • Choe, H.J.1
  • 9
    • 0007137472 scopus 로고    scopus 로고
    • Boundedness of solutions to variational problems under general growth conditions
    • Cianchi A. Boundedness of solutions to variational problems under general growth conditions. Comm. Partial Differential Equations. 22:1997;1629-1646.
    • (1997) Comm. Partial Differential Equations , vol.22 , pp. 1629-1646
    • Cianchi, A.1
  • 10
    • 0007023675 scopus 로고    scopus 로고
    • Local boundedness for minima of functionals with non standard growth conditions
    • Dall'Aglio A., Mascolo E., Papi G. Local boundedness for minima of functionals with non standard growth conditions. Remol. Met. Appl. 18:1998;305-326.
    • (1998) Remol. Met. Appl. , vol.18 , pp. 305-326
    • Dall'Aglio, A.1    Mascolo, E.2    Papi, G.3
  • 11
    • 0000210927 scopus 로고    scopus 로고
    • Maximum principle for vector valued mappings minimizing variational integrals
    • D'Ottavio A., Leonetti F., Musciano C. Maximum principle for vector valued mappings minimizing variational integrals. Atti Sem. Mat. Fis. Univ. Modena. 46:1998;677-683.
    • (1998) Atti Sem. Mat. Fis. Univ. Modena , vol.46 , pp. 677-683
    • D'Ottavio, A.1    Leonetti, F.2    Musciano, C.3
  • 12
    • 51249173776 scopus 로고
    • Local boundedness of minimizers in a limit case
    • Fusco N., Sbordone C. Local boundedness of minimizers in a limit case. Manuscripta Math. 69:1990;19-25.
    • (1990) Manuscripta Math. , vol.69 , pp. 19-25
    • Fusco, N.1    Sbordone, C.2
  • 14
    • 0001686552 scopus 로고
    • Growth conditions and regularity, a counterexample
    • Giaquinta M. Growth conditions and regularity, a counterexample. Manuscripta Math. 59:1987;245-248.
    • (1987) Manuscripta Math. , vol.59 , pp. 245-248
    • Giaquinta, M.1
  • 15
    • 0007023677 scopus 로고
    • 1,p e singolarità delle soluzioni deboli di sistemi ellittici non lineari
    • 1,p e singolarità delle soluzioni deboli di sistemi ellittici non lineari. Boll. Un. Mat. Ital. 2:1969;71-76.
    • (1969) Boll. Un. Mat. Ital. , vol.2 , pp. 71-76
    • Giusti, E.1
  • 17
    • 0002365723 scopus 로고
    • Some remarks on the minimizers of variational integrals with non standard growth conditions
    • Hong M. C. Some remarks on the minimizers of variational integrals with non standard growth conditions. Boll. Un. Mat. Ital. A. 6:1992;91-101.
    • (1992) Boll. Un. Mat. Ital. A , vol.6 , pp. 91-101
    • Hong, M.C.1
  • 18
    • 0000334528 scopus 로고
    • Higher integrability for minimizers of integral functionals with nonstandard growth
    • Leonetti F. Higher integrability for minimizers of integral functionals with nonstandard growth. J. Differential Equations. 112:1994;308-324.
    • (1994) J. Differential Equations , vol.112 , pp. 308-324
    • Leonetti, F.1
  • 19
    • 0000536678 scopus 로고
    • The natural generalization of the natural growth conditions of Ladyzhesnkaya and Ural'tseva for elliptic equations
    • Lieberman G. The natural generalization of the natural growth conditions of Ladyzhesnkaya and Ural'tseva for elliptic equations. Comm. Partial Differential Equations. 16:1991;311-361.
    • (1991) Comm. Partial Differential Equations , vol.16 , pp. 311-361
    • Lieberman, G.1
  • 21
    • 0001196870 scopus 로고
    • Regularity of minimizers of integrals of the calculus of variations with non standard growth conditions
    • Marcellini P. Regularity of minimizers of integrals of the calculus of variations with non standard growth conditions. Arch. Rational Mech. Anal. 105:1989;267-284.
    • (1989) Arch. Rational Mech. Anal. , vol.105 , pp. 267-284
    • Marcellini, P.1
  • 22
    • 0001812746 scopus 로고
    • Regularity and existence of solutions of elliptic equations with p,q-growth conditions
    • Marcellini P. 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
  • 23
    • 0001640760 scopus 로고
    • Local boundedness of minimizers of integrals of the calculus of variations
    • Mascolo E., Papi G. Local boundedness of minimizers of integrals of the calculus of variations. Ann. Mat. Pura Appl. 167:1994;323-339.
    • (1994) Ann. Mat. Pura Appl. , vol.167 , pp. 323-339
    • Mascolo, E.1    Papi, G.2
  • 24
    • 0001277096 scopus 로고
    • Hölder continuity of minimizers of functionals with non standard growth conditions
    • Moscariello G., Nania L. Hölder continuity of minimizers of functionals with non standard growth conditions. Ricerche Mat. 40:1991;259-273.
    • (1991) Ricerche Mat. , vol.40 , pp. 259-273
    • Moscariello, G.1    Nania, L.2
  • 25
    • 84980072436 scopus 로고
    • Remarks on strongly elliptic partial differential equations
    • Nirenberg L. Remarks on strongly elliptic partial differential equations. Comm. Pure Appl. Math. 8:1955;649-675.
    • (1955) Comm. Pure Appl. Math. , vol.8 , pp. 649-675
    • Nirenberg, L.1
  • 26
    • 0001782286 scopus 로고    scopus 로고
    • A regularity result for a class of anisotropic systems
    • Passarelli A., Siepe F. A regularity result for a class of anisotropic systems. Rend. Istit. Mat. Univ. Trieste. 28:1996;13-31.
    • (1996) Rend. Istit. Mat. Univ. Trieste , vol.28 , pp. 13-31
    • Passarelli, A.1    Siepe, F.2
  • 27
    • 0001191481 scopus 로고
    • Global boundedness of solutions of anisotropic variational problems
    • Stroffolini B. Global boundedness of solutions of anisotropic variational problems. Boll. Un. Mat. Ital. A. 5:1991;345-352.
    • (1991) Boll. Un. Mat. Ital. A , vol.5 , pp. 345-352
    • Stroffolini, B.1
  • 28
    • 84972519543 scopus 로고
    • Boundedness of minimizers
    • Talenti G. Boundedness of minimizers. Hokkaido Math. J. 19:1990;259-279.
    • (1990) Hokkaido Math. J. , vol.19 , pp. 259-279
    • Talenti, G.1
  • 29
    • 0003374426 scopus 로고
    • Regularity of minimizers of nonisotropic integrals in the calculus of variations
    • Tang Q. Regularity of minimizers of nonisotropic integrals in the calculus of variations. Ann. Mat. Pura Appl. 164:1993;77-87.
    • (1993) Ann. Mat. Pura Appl. , vol.164 , pp. 77-87
    • Tang, Q.1


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