메뉴 건너뛰기




Volumn 139, Issue 5, 2011, Pages 1681-1690

Simple proofs of some results of Reshetnyak

Author keywords

[No Author keywords available]

Indexed keywords


EID: 79952138040     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-2010-10593-2     Document Type: Article
Times cited : (39)

References (22)
  • 1
    • 0013172961 scopus 로고
    • New lower semicontinuity results for polyconvex integrals
    • MR1385074 (97f:49011)
    • E. Acerbi, G. Dal Maso, New lower semicontinuity results for polyconvex integrals, Calc. Var. Partial Differential Equations 2 (1994), 329-371. MR1385074 (97f:49011)
    • (1994) Calc. Var. Partial Differential Equations , vol.2 , pp. 329-371
    • Acerbi, E.1    Dal Maso, G.2
  • 2
  • 3
    • 38249008242 scopus 로고
    • m) of quasi-convex integrals
    • MR1183605 (93j:49012)
    • m) of quasi-convex integrals, J. Funct. Anal. 109 (1992), 76-97. MR1183605 (93j:49012)
    • (1992) J. Funct. Anal. , vol.109 , pp. 76-97
    • Ambrosio, L.1    Dal Maso, G.2
  • 4
    • 0001031995 scopus 로고
    • Functionals with linear growth defined on vector valued BV functions
    • MR1113814 (92j:49004)
    • L. Ambrosio, S. Mortola, V.M. Tortorelli, Functionals with linear growth defined on vector valued BV functions, J. Math. Pures Appl. (9) 70 (1991), 269-323. MR1113814 (92j:49004)
    • (1991) J. Math. Pures Appl. , vol.70 , Issue.9 , pp. 269-323
    • Ambrosio, L.1    Mortola, S.2    Tortorelli, V.M.3
  • 6
    • 22844454923 scopus 로고    scopus 로고
    • BV functions with respect to a measure and relaxation of metric integral functionals
    • MR1736243 (2000k:49016)
    • G. Bellettini, G. Bouchitté, I. Fragalà, BV functions with respect to a measure and relaxation of metric integral functionals, J. Convex Anal. 6 (1999), 349-366. MR1736243 (2000k:49016)
    • (1999) J. Convex Anal. , vol.6 , pp. 349-366
    • Bellettini, G.1    Bouchitté, G.2    Fragalà, I.3
  • 7
    • 21944456084 scopus 로고    scopus 로고
    • Shape optimization problems over classes of convex domains
    • G. Buttazzo, P. Guasoni, Shape optimization problems over classes of convex domains, J. Convex Anal. 4 (1997), 343-351. MR1613491 (99b:49039) (Pubitemid 127714628)
    • (1997) Journal of Convex Analysis , vol.4 , Issue.2 , pp. 343-351
    • Buttazzo, G.1    Guasoni, P.2
  • 9
    • 84974173146 scopus 로고
    • Lower semicontinuity of surface energies
    • MR1149987 (94j:73069)
    • I. Fonseca, Lower semicontinuity of surface energies, Proc. Roy. Soc. Edinburgh Sect. A 120 (1992), 99-115. MR1149987 (94j:73069)
    • (1992) Proc. Roy. Soc. Edinburgh Sect. A , vol.120 , pp. 99-115
    • Fonseca, I.1
  • 10
    • 0001118654 scopus 로고
    • The Wulff theorem revisited
    • MR1116536 (92e:49053)
    • I. Fonseca, The Wulff theorem revisited, Proc. Roy. Soc. London Ser. A 432 (1991), 125-145. MR1116536 (92e:49053)
    • (1991) Proc. Roy. Soc. London Ser. A , vol.432 , pp. 125-145
    • Fonseca, I.1
  • 11
    • 84974486768 scopus 로고
    • A uniqueness proof for the Wulff theorem
    • MR1130601 (93c:49026)
    • I. Fonseca, S. Müller, A uniqueness proof for the Wulff theorem, Proc. Roy. Soc. Edinburgh Sect. A 119 (1991), 125-136. MR1130601 (93c:49026)
    • (1991) Proc. Roy. Soc. Edinburgh Sect. A , vol.119 , pp. 125-136
    • Fonseca, I.1    Müller, S.2
  • 12
    • 27844451014 scopus 로고    scopus 로고
    • Weak continuity and lower semicontinuity results for determinants
    • DOI 10.1007/s00205-005-0377-2
    • I. Fonseca, G. Leoni, J. Malý, Weak continuity and lower semicontinuity results for determinants, Arch. Ration. Mech. Anal. 178 (2005), 411-448. MR2196498 (2006m:49020) (Pubitemid 41660783)
    • (2005) Archive for Rational Mechanics and Analysis , vol.178 , Issue.3 , pp. 411-448
    • Fonseca, I.1    Leoni, G.2    Maly, J.3
  • 14
    • 36149008975 scopus 로고
    • Some theorems on the free energies of crystal surfaces
    • C. Herring, Some Theorems on the Free Energies of Crystal Surfaces, Phys. Rev. 82 (1951), 87-93.
    • (1951) Phys. Rev. , vol.82 , pp. 87-93
    • Herring, C.1
  • 15
    • 70450239818 scopus 로고    scopus 로고
    • Relaxation of signed integral functionals in BV
    • MR2564396
    • J. Kristensen, F. Rindler, Relaxation of signed integral functionals in BV, Calc. Var. 37 (2010), 29-62. MR2564396
    • (2010) Calc. Var. , vol.37 , pp. 29-62
    • Kristensen, J.1    Rindler, F.2
  • 17
    • 33846672213 scopus 로고    scopus 로고
    • Action minimization and sharpinterface limits for the stochastic Allen-Cahn equation
    • MR2284215 (2008a:35053)
    • R. Kohn, F. Otto, M.G. Reznikoff, E. Vanden-Eijnden, Action minimization and sharpinterface limits for the stochastic Allen-Cahn equation, Comm. Pure Appl. Math. 60 (2007), 393-438. MR2284215 (2008a:35053)
    • (2007) Comm. Pure Appl. Math. , vol.60 , pp. 393-438
    • Kohn, R.1    Otto, F.2    Reznikoff, M.G.3    Vanden-Eijnden, E.4
  • 18
    • 43949112958 scopus 로고    scopus 로고
    • A gamma-convergence approach to the Cahn-Hilliard equation
    • MR2402921 (2009d:35154)
    • N.Q. Le, A gamma-convergence approach to the Cahn-Hilliard equation, Calc. Var. Partial Differential Equations 32 (2008), 499-522. MR2402921 (2009d:35154)
    • (2008) Calc. Var. Partial Differential Equations , vol.32 , pp. 499-522
    • Le, N.Q.1
  • 19
    • 33845220501 scopus 로고
    • The Gibbs-Thompson relation within the gradient theory of phase transitions
    • MR1000224 (90k:49041)
    • S. Luckhaus, L. Modica, The Gibbs-Thompson relation within the gradient theory of phase transitions, Arch. Rational Mech. Anal. 107 (1989), 71-83. MR1000224 (90k:49041)
    • (1989) Arch. Rational Mech. Anal. , vol.107 , pp. 71-83
    • Luckhaus, S.1    Modica, L.2
  • 20
    • 0001503349 scopus 로고
    • Weak convergence of completely additive vector funtions on a set (Russian)
    • Y.G. Reshetnyak, Weak convergence of completely additive vector funtions on a set (Russian) Sibirski Mat. Zh. 9 (1968) 1386-1394
    • (1968) Sibirski Mat. Zh. , vol.9 , pp. 1386-1394
    • Reshetnyak, Y.G.1
  • 21
    • 0001503348 scopus 로고
    • MR0240274 (39:1623) translation in
    • translation in Siberian Math. J. 9 (1968), 1039-1045. MR0240274 (39:1623)
    • (1968) Siberian Math. J. , vol.9 , pp. 1039-1045


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.