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Volumn 168, Issue 3, 2003, Pages 245-252

Quasiconvex functions and Hessian equations

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EID: 0037998832     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00205-003-0255-8     Document Type: Article
Times cited : (18)

References (16)
  • 1
    • 0017417265 scopus 로고
    • Convexity conditions and existence theorems in nonlinear elasticity
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    • [B] BALL, J.M.: Convexity conditions and existence theorems in nonlinear elasticity. Arch. Rational Mech. Anal. 63, 337-403 (1978)
    • (1978) Arch. Rational Mech. Anal. , vol.63 , pp. 337-403
    • Ball, J.M.1
  • 2
    • 0000658663 scopus 로고
    • The Dirichlet problem for nonlinear second order elliptic equations III, functions of the eigenvalues of the Hessian
    • [CNS]
    • [CNS] CAFFARELLI, L., NIRENBERG, L., SPRUCK, J.: The Dirichlet problem for nonlinear second order elliptic equations III, Functions of the eigenvalues of the Hessian. Acta Math. 155, 261-301 (1985)
    • (1985) Acta Math. , vol.155 , pp. 261-301
    • Caffarelli, L.1    Nirenberg, L.2    Spruck, J.3
  • 6
    • 84972497511 scopus 로고
    • Quasi-convexity and the lower semicontinuity of multiple integrals
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    • [M] MORREY, C.B.: Quasi-convexity and the lower semicontinuity of multiple integrals. Pacific J. Math. 2, 25-53 (1952)
    • (1952) Pacific J. Math. , vol.2 , pp. 25-53
    • Morrey, C.B.1
  • 7
    • 0002142597 scopus 로고    scopus 로고
    • Variational models for microstructure and phase transitions
    • [Mü], Lecture Notes in Math., 1713, Springer, Berlin
    • [Mü] MÜLLER, S.: Variational models for microstructure and phase transitions. Calculus of variations and geometric evolution problems (Cetraro, 1996), 85-210, Lecture Notes in Math., 1713, Springer, Berlin, 1999
    • (1999) Calculus of Variations and Geometric Evolution Problems (Cetraro, 1996) , pp. 85-210
    • Müller, S.1
  • 10
    • 0001142604 scopus 로고
    • On the Hessian of a function and the curvatures of its graph
    • [R]
    • [R] REILLY, R.C.: On the Hessian of a function and the curvatures of its graph. Michigan Math. J. 20, 373-383 (1973-74)
    • (1973) Michigan Math. J. , vol.20 , pp. 373-383
    • Reilly, R.C.1
  • 11
    • 21144462890 scopus 로고
    • New examples of quasiconvex functions
    • [S]
    • [S] ŠVERÁK, V.: New examples of quasiconvex functions. Arch. Rational Mech. Anal. 119, 293-300 (1992)
    • (1992) Arch. Rational Mech. Anal. , vol.119 , pp. 293-300
    • Šverák, V.1
  • 13
    • 0000984499 scopus 로고    scopus 로고
    • Weak solutions of Hessian equations
    • [T]
    • [T] TRUDINGER, N.S.: Weak solutions of Hessian equations. Commun. Partial Diff. Eq. 22, 1251-1261 (1997)
    • (1997) Commun. Partial Diff. Eq. , vol.22 , pp. 1251-1261
    • Trudinger, N.S.1
  • 15
    • 0033235420 scopus 로고    scopus 로고
    • Hessians measures II
    • [TW2]
    • [TW2] TRUDINGER, N.S., WANG, X.J.: Hessians measures II. Ann. of Math. 150, 579-604 (1999)
    • (1999) Ann. of Math. , vol.150 , pp. 579-604
    • Trudinger, N.S.1    Wang, X.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.