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Volumn 22, Issue 4, 2003, Pages 911-923

The Dirichlet Energy Integral on Intervals in Variable Exponent Sobolev Spaces

Author keywords

Dirichlet energy integral; Minimizing problem; Sobolev capacity; Variable exponent Sobolev space; Zero boundary values

Indexed keywords


EID: 1342347516     PISSN: 02322064     EISSN: None     Source Type: Journal    
DOI: 10.4171/ZAA/1179     Document Type: Article
Times cited : (15)

References (19)
  • 1
    • 0035579913 scopus 로고    scopus 로고
    • Regularity results for a class of functional with non-standard growth
    • Acerbi, E. and G. Mingione: Regularity results for a class of functional with non-standard growth. Arch. Rat. Mech. Anal. 156 (2001), 121 - 140.
    • (2001) Arch. Rat. Mech. Anal. , vol.156 , pp. 121-140
    • Acerbi, E.1    Mingione, G.2
  • 2
    • 0036768849 scopus 로고    scopus 로고
    • Regularity results for stationary electro-Theological fluids
    • Acerbi, E. and G. Mingione: Regularity results for stationary electro-Theological fluids. Arch. Rat. Mech. Anal. 164 (2002), 213 - 259.
    • (2002) Arch. Rat. Mech. Anal. , vol.164 , pp. 213-259
    • Acerbi, E.1    Mingione, G.2
  • 3
    • 0033074813 scopus 로고    scopus 로고
    • Hölder continuity of the gradient of p(x)-harmonic mappings
    • Coscia, A. and G. Mingione; Hölder continuity of the gradient of p(x)-harmonic mappings. C.R. Acad. Sci. Paris (Série I) 328 (1999), 363 - 368.
    • (1999) C.R. Acad. Sci. Paris (Série I) , vol.328 , pp. 363-368
    • Coscia, A.1    Mingione, G.2
  • 8
    • 0003814295 scopus 로고
    • Calculus of Variations
    • Reading (Massachusetts, USA): Addison - Wesley Publ. Comp.
    • Elsgolc, L. E.: Calculus of Variations (Intern. Ser. of Monographs in Pure & Appl. Math.: Vol. 19). Reading (Massachusetts, USA): Addison - Wesley Publ. Comp. 1961.
    • (1961) Intern. Ser. of Monographs in Pure & Appl. Math. , vol.19
    • Elsgolc, L.E.1
  • 11
    • 0034379523 scopus 로고    scopus 로고
    • Sobolev spaces with zero boundary values on metric spaces
    • Kilpeläinen, T., Kinnunen, J. and O. Martio: Sobolev spaces with zero boundary values on metric spaces. Potential Anal. 12 (2000), 233 - 247.
    • (2000) Potential Anal. , vol.12 , pp. 233-247
    • Kilpeläinen, T.1    Kinnunen, J.2    Martio, O.3
  • 14
    • 0037932530 scopus 로고    scopus 로고
    • p(x) on which the Hardy-Littlewood maximal operator is not bounded
    • p(x) on which the Hardy-Littlewood maximal operator is not bounded. Expo. Math. 19 (2001), 369 - 371.
    • (2001) Expo. Math. , vol.19 , pp. 369-371
    • Pick, L.1    Růžička, M.2
  • 16
    • 4043083491 scopus 로고    scopus 로고
    • n)
    • Newark, DE
    • n). In: Direct and Inverse Problems of Mathematical Physics, Newark, DE, 1997 (Int. Soc. Anal. Appl. Comp.: Vol. 5; eds.: Gilbert, R., Kajiwara, J., and Xu, Y. S.). Dordrecht: Kluwer Acad. Publ. 2000, pp. 333 - 342.
    • (1997) Direct and Inverse Problems of Mathematical Physics
    • Samko, S.1
  • 17
    • 4043083491 scopus 로고    scopus 로고
    • Dordrecht: Kluwer Acad. Publ.
    • n). In: Direct and Inverse Problems of Mathematical Physics, Newark, DE, 1997 (Int. Soc. Anal. Appl. Comp.: Vol. 5; eds.: Gilbert, R., Kajiwara, J., and Xu, Y. S.). Dordrecht: Kluwer Acad. Publ. 2000, pp. 333 - 342.
    • (2000) Int. Soc. Anal. Appl. Comp. , vol.5 , pp. 333-342
    • Gilbert, R.1    Kajiwara, J.2    Xu, Y.S.3
  • 18
    • 1342277143 scopus 로고
    • p(t)([0; 1])
    • p(t)([0; 1]) Math. Notes 26 (1979), no. 3-4, 796-806. [translation of Mat. Zametki 26 (1978), no. 4, 613-632.]
    • (1979) Math. Notes , vol.26 , Issue.3-4 , pp. 796-806
    • Sharapudinov, I.I.1
  • 19
    • 0000961724 scopus 로고
    • translation of
    • p(t)([0; 1]) Math. Notes 26 (1979), no. 3-4, 796-806. [translation of Mat. Zametki 26 (1978), no. 4, 613-632.]
    • (1978) Mat. Zametki , vol.26 , Issue.4 , pp. 613-632


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.