On the differentiability of solutions of quasilinear elliptic equations
Hajłasz, Piotr ; Strzelecki, Paweł
Colloquium Mathematicae, Tome 66 (1993), p. 287-291 / Harvested from The Polish Digital Mathematics Library
Publié le : 1993-01-01
EUDML-ID : urn:eudml:doc:210192
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     author = {Haj\l asz, Piotr and Strzelecki, Pawe\l },
     title = {On the differentiability of solutions of quasilinear elliptic equations},
     journal = {Colloquium Mathematicae},
     volume = {66},
     year = {1993},
     pages = {287-291},
     zbl = {0822.35023},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv64i2p287bwm}
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Hajłasz, Piotr; Strzelecki, Paweł. On the differentiability of solutions of quasilinear elliptic equations. Colloquium Mathematicae, Tome 66 (1993) pp. 287-291. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv64i2p287bwm/

[000] [1] B. Bojarski, Pointwise differentiability of weak solutions of elliptic divergence type equations, Bull. Polish Acad. Sci. Math. 33 (1985), 1-6. | Zbl 0572.35011

[001] [2] A. P. Calderón, On the differentiability of absolutely continuous functions, Riv. Mat. Univ. Parma 2 (1951), 203-213. | Zbl 0044.27901

[002] [3] Yu. G. Reshetnyak, Almost everywhere differentiability of solutions of elliptic equations, Sibirsk. Mat. Zh. 28 (4) (1987), 193-196 (in Russian).

[003] [4] Yu. G. Reshetnyak, Generalized derivatives and a.e. differentiability, Mat. Sb. 75 (3) (1968), 323-334 (in Russian).

[004] [5] J. Serrin, Local behavior of solutions of quasilinear equations, Acta Math. 111 (1964), 247-302.

[005] [6] J. Serrin, On the differentiability of functions of several variables, Arch. Rational Mech. Anal. 7 (1961), 359-372. | Zbl 0109.03904

[006] [7] E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, Princeton 1970. | Zbl 0207.13501

[007] [8] W. Stepanoff [V. V. Stepanov], Sur les conditions de l'existence de la différentielle totale, Mat. Sb. 32 (1925), 511-527. | Zbl 51.0207.07