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A new tool in the calculos of variations: Gehring's theorem

  • Carlo Sbordone
V Section — Function Theoretical Methods In Functional Analysis (Operators And Differential Operators)
  • 209 Downloads
Part of the Lecture Notes in Mathematics book series (LNM, volume 1014)

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References

  1. [1]
    H. ATTOUCH-C. SBORDONE, Asymptotic limits for perturbed functionals of Calculus of Variations,Ricerche di Matem. XXIX (1) (1980) 85–124.MathSciNetzbMATHGoogle Scholar
  2. [2]
    B.V. BOYARSKI, Homeomorphic solutions of Beltrami systems, Dokl. Akad. Nauk SSSR,102 (1955) 661–664.MathSciNetGoogle Scholar
  3. [3]
    G. BUTTAZZO-M. TOSQUES, Γ-convergenza per alcune classi di funzionali, Ann. Univ. Ferrara, XXIII (1977) 257–267.MathSciNetzbMATHGoogle Scholar
  4. [4]
    F.W. GEHRING, The Lp integrability of the partial derivatives of a quasiconformal mapping, Acta Math. 130 (1973) 265–277.MathSciNetCrossRefzbMATHGoogle Scholar
  5. [5]
    M. GIAQUINTA-G. GIUSTI, Non linear elliptic systems with quadratic growth, Manuscripta Math. 24 (1978) 323–349.MathSciNetCrossRefzbMATHGoogle Scholar
  6. [6]
    M.GIAQUINTA-G.GIUSTI, On the regularity of the minima of variational integrals, to appear.Google Scholar
  7. [7]
    M. GIAQUINTA-G. MODICA, Regularity results for some classes of higher order non linear elliptic systems, J. fur Reine u. Angew. Math. 33/312 (1979) 145–169.MathSciNetzbMATHGoogle Scholar
  8. [8]
    P.MARCELLINI-C.SBORDONE, On the existence of minima of multiple integrals of the Calculus of Variations, to appear.Google Scholar
  9. [9]
    N. MEYERS-A. ELCRAT, Some results on regularity for solutions of non linear elliptic systems and quasiregular functions, Duke Math. J. 42 (1), 121–136 (1975).MathSciNetCrossRefzbMATHGoogle Scholar

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© Springer-Verlag 1983

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  • Carlo Sbordone

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