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Volumn 10, Issue 1, 2008, Pages 191-229

Further characterizations of Sobolev spaces

Author keywords

Sobolev spaces

Indexed keywords


EID: 36348982665     PISSN: 14359855     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (57)

References (11)
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    • Bourgain, J., Brezis, H., Mironescu, P.: Another look at Sobolev spaces. In: Optimal Control and Partial Differential Equations, a in honour of A. Bensoussan's 60th birthday, J. L. Menaldi, E. Rofman and A. Sulem (eds.), IOS Press, 439-455 (2001) Zbl pre02134074
    • Bourgain, J., Brezis, H., Mironescu, P.: Another look at Sobolev spaces. In: Optimal Control and Partial Differential Equations, a volume in honour of A. Bensoussan's 60th birthday, J. L. Menaldi, E. Rofman and A. Sulem (eds.), IOS Press, 439-455 (2001) Zbl pre02134074
  • 2
    • 33745685937 scopus 로고    scopus 로고
    • A new characterization of Sobolev spaces
    • Zbl 1109.46034 MR 2242035
    • Bourgain, J., Nguyen, H.-M.: A new characterization of Sobolev spaces. C. R. Math. Acad. Sci. Paris 343, 75-80 (2006) Zbl 1109.46034 MR 2242035
    • (2006) C. R. Math. Acad. Sci. Paris , vol.343 , pp. 75-80
    • Bourgain, J.1    Nguyen, H.-M.2
  • 3
    • 36348985778 scopus 로고    scopus 로고
    • Braides, A.: Γ-convergence for Beginners. Oxford Lecture Ser. Math. Appl., 22. Oxford Univ. Press, Oxford (2002) Zbl pre01865939 MR 1968440
    • Braides, A.: Γ-convergence for Beginners. Oxford Lecture Ser. Math. Appl., 22. Oxford Univ. Press, Oxford (2002) Zbl pre01865939 MR 1968440
  • 4
    • 36348936405 scopus 로고    scopus 로고
    • Brezis, H.: Analyse Fonctionnelle. Théorie et Applications. Mathématiques appliquées pour la maîtrise, Masson (1983) Zbl 0511.46001 MR 0697382
    • Brezis, H.: Analyse Fonctionnelle. Théorie et Applications. Mathématiques appliquées pour la maîtrise, Masson (1983) Zbl 0511.46001 MR 0697382
  • 5
    • 0141580732 scopus 로고    scopus 로고
    • How to recognize constant functions
    • Nauk, in Russian
    • Brezis, H.: How to recognize constant functions. Connections with Sobolev spaces. Uspekhi Mat. Nauk 57, no. 4, 59-74 (2002) (in Russian);
    • (2002) Connections with Sobolev spaces. Uspekhi Mat , vol.57 , Issue.4 , pp. 59-74
    • Brezis, H.1
  • 6
    • 85164654366 scopus 로고    scopus 로고
    • Zbl 1072.46020 MR 1942116
    • English transl.: Russian Math. Surveys 57, 693-708 (2002) Zbl 1072.46020 MR 1942116
    • (2002) Russian Math. Surveys , vol.57 , pp. 693-708
    • English transl1
  • 7
    • 36349005547 scopus 로고    scopus 로고
    • Dal Maso, G.: An Introduction to Γ-convergence. Progr. Nonlinear Differential Equations Appl. 8, Birkhäuser Boston, Boston, MA (1993) Zbl 0816.49001 MR 1201152
    • Dal Maso, G.: An Introduction to Γ-convergence. Progr. Nonlinear Differential Equations Appl. 8, Birkhäuser Boston, Boston, MA (1993) Zbl 0816.49001 MR 1201152
  • 8
    • 33646923182 scopus 로고    scopus 로고
    • Some new characterizations of Sobolev spaces
    • Zbl pre05045603 MR 2230356
    • Nguyen, H.-M.: Some new characterizations of Sobolev spaces. J. Funct. Anal. 237, 689-720 (2006) Zbl pre05045603 MR 2230356
    • (2006) J. Funct. Anal , vol.237 , pp. 689-720
    • Nguyen, H.-M.1
  • 9
    • 1142288658 scopus 로고    scopus 로고
    • A new approach to Sobolev spaces and connections to Γ-convergence
    • MR 2033060
    • Ponce, A. C.: A new approach to Sobolev spaces and connections to Γ-convergence. Calc. Var. Partial Differential Equations 19, 229-255 (2004) MR 2033060
    • (2004) Calc. Var. Partial Differential Equations , vol.19 , pp. 229-255
    • Ponce, A.C.1
  • 10
    • 36348948227 scopus 로고    scopus 로고
    • Stein, E.: Singular Integrals and Differentiability Properties of Functions. Princeton Univ. Press (1970) Zbl 0207.13501 MR 0290095
    • Stein, E.: Singular Integrals and Differentiability Properties of Functions. Princeton Univ. Press (1970) Zbl 0207.13501 MR 0290095
  • 11
    • 36348954104 scopus 로고    scopus 로고
    • Wheeden, R., Zygmund, A.: Measure and Integral: An Introduction to Real Analysis. Dekker (1977) Zbl 0362.26004 MR 0492146
    • Wheeden, R., Zygmund, A.: Measure and Integral: An Introduction to Real Analysis. Dekker (1977) Zbl 0362.26004 MR 0492146


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.