On the differentiability of solutions of quasilinear elliptic equations

• Autorzy: Piotr Hajłasz , Paweł Strzelecki
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1993
• Tom: 64
• Numer: 2
• Strony: 287-291

Daty

wydano

1993

otrzymano

1992-03-27

poprawiono

1992-06-02

Twórcy

autor

Piotr Hajłasz

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

autor

Paweł Strzelecki

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

Bibliografia

• [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.