Download PDF - On the differentiability of solutions of quasilinear elliptic equationsAll rights reserved. Copyright exceptions and limitations apply

ArticleOriginal scientific text

Title

On the differentiability of solutions of quasilinear elliptic equations

Authors 1, 1

Affiliations

  1. Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland

Bibliography

  1. B. Bojarski, Pointwise differentiability of weak solutions of elliptic divergence type equations, Bull. Polish Acad. Sci. Math. 33 (1985), 1-6.
  2. A. P. Calderón, On the differentiability of absolutely continuous functions, Riv. Mat. Univ. Parma 2 (1951), 203-213.
  3. Yu. G. Reshetnyak, Almost everywhere differentiability of solutions of elliptic equations, Sibirsk. Mat. Zh. 28 (4) (1987), 193-196 (in Russian).
  4. Yu. G. Reshetnyak, Generalized derivatives and a.e. differentiability, Mat. Sb. 75 (3) (1968), 323-334 (in Russian).
  5. J. Serrin, Local behavior of solutions of quasilinear equations, Acta Math. 111 (1964), 247-302.
  6. J. Serrin, On the differentiability of functions of several variables, Arch. Rational Mech. Anal. 7 (1961), 359-372.
  7. E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, Princeton 1970.
  8. W. Stepanoff [V. V. Stepanov], Sur les conditions de l'existence de la différentielle totale, Mat. Sb. 32 (1925), 511-527.
Colloquium Mathematicum
1993/64/2
Export to PBN, Opens in new tab
Pages:
287-291
Main language of publication
English
Received
1992-03-27
Accepted
1992-06-02
Published
1993
Exact and natural sciences