On the differentiability of solutions of quasilinear elliptic equations

Piotr Hajłasz; Paweł Strzelecki

Colloquium Mathematicae (1993)

  • Volume: 64, Issue: 2, page 287-291
  • ISSN: 0010-1354

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Hajłasz, Piotr, and Strzelecki, Paweł. "On the differentiability of solutions of quasilinear elliptic equations." Colloquium Mathematicae 64.2 (1993): 287-291. <http://eudml.org/doc/210192>.

@article{Hajłasz1993,
author = {Hajłasz, Piotr, Strzelecki, Paweł},
journal = {Colloquium Mathematicae},
keywords = {quasilinear elliptic equation; differentiable almost everywhere},
language = {eng},
number = {2},
pages = {287-291},
title = {On the differentiability of solutions of quasilinear elliptic equations},
url = {http://eudml.org/doc/210192},
volume = {64},
year = {1993},
}

TY - JOUR
AU - Hajłasz, Piotr
AU - Strzelecki, Paweł
TI - On the differentiability of solutions of quasilinear elliptic equations
JO - Colloquium Mathematicae
PY - 1993
VL - 64
IS - 2
SP - 287
EP - 291
LA - eng
KW - quasilinear elliptic equation; differentiable almost everywhere
UR - http://eudml.org/doc/210192
ER -

References

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  1. [1] B. Bojarski, Pointwise differentiability of weak solutions of elliptic divergence type equations, Bull. Polish Acad. Sci. Math. 33 (1985), 1-6. Zbl0572.35011
  2. [2] A. P. Calderón, On the differentiability of absolutely continuous functions, Riv. Mat. Univ. Parma 2 (1951), 203-213. Zbl0044.27901
  3. [3] Yu. G. Reshetnyak, Almost everywhere differentiability of solutions of elliptic equations, Sibirsk. Mat. Zh. 28 (4) (1987), 193-196 (in Russian). 
  4. [4] Yu. G. Reshetnyak, Generalized derivatives and a.e. differentiability, Mat. Sb. 75 (3) (1968), 323-334 (in Russian). 
  5. [5] J. Serrin, Local behavior of solutions of quasilinear equations, Acta Math. 111 (1964), 247-302. 
  6. [6] J. Serrin, On the differentiability of functions of several variables, Arch. Rational Mech. Anal. 7 (1961), 359-372. Zbl0109.03904
  7. [7] E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, Princeton 1970. Zbl0207.13501
  8. [8] W. Stepanoff [V. V. Stepanov], Sur les conditions de l'existence de la différentielle totale, Mat. Sb. 32 (1925), 511-527. Zbl51.0207.07

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