@article{CMUC_1980_21_1_a10,
author = {Ne\v{c}as, Jind\v{r}ich and John, Old\v{r}ich and Star\'a, Jana},
title = {Counterexample to the regularity of weak solution of elliptic systems},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {145--154},
year = {1980},
volume = {21},
number = {1},
mrnumber = {566246},
zbl = {0442.35034},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1980_21_1_a10/}
}
TY - JOUR AU - Nečas, Jindřich AU - John, Oldřich AU - Stará, Jana TI - Counterexample to the regularity of weak solution of elliptic systems JO - Commentationes Mathematicae Universitatis Carolinae PY - 1980 SP - 145 EP - 154 VL - 21 IS - 1 UR - http://geodesic.mathdoc.fr/item/CMUC_1980_21_1_a10/ LA - en ID - CMUC_1980_21_1_a10 ER -
%0 Journal Article %A Nečas, Jindřich %A John, Oldřich %A Stará, Jana %T Counterexample to the regularity of weak solution of elliptic systems %J Commentationes Mathematicae Universitatis Carolinae %D 1980 %P 145-154 %V 21 %N 1 %U http://geodesic.mathdoc.fr/item/CMUC_1980_21_1_a10/ %G en %F CMUC_1980_21_1_a10
Nečas, Jindřich; John, Oldřich; Stará, Jana. Counterexample to the regularity of weak solution of elliptic systems. Commentationes Mathematicae Universitatis Carolinae, Tome 21 (1980) no. 1, pp. 145-154. http://geodesic.mathdoc.fr/item/CMUC_1980_21_1_a10/
[1] De GIORGI E.: Sulla differenziabilità e l'analicità delle estremali degli integrali multipli regolari. Mem. Acad. Sci. Torino 3 (1957), 25-43, Matematika 4 (1960), 25-38. | MR
[2] De GIORGI E.: Un esempio di estremali discontinue per un problema variazionale di tipo ellittico. Boll. Unione Mat. Italiana 1 (1968), 135-138. | MR
[3] GIUSTI E., MIRANDA M.: Un esempio di soluzioni discontinue per un problema di minimo relativo ad un integrále regolare del calcolo delle variazioni. Boll. Unione Mat. Italiana (4) 1 (1968), 219-227. | MR | Zbl
[4] KOŠELEV A. I.: Regularnosť rešenij kvasilinějnych eliptičeskich sistem. Uspechi mat. nauk 23 (1978), 3-49. | MR
[5] LADYŽENSKAJA O. A., URAL'CEVA N. N.: Linějnyje i kvasilinějnyje uravněnija eliptičeskogo tipa. Nauka, Moskva 1964. | MR
[6] MORREY Ch. B.: Differentiability theorems for weak solutions of nonlinear elliptic differential equations. Bull. Am. Math. Soc. 75 (1969), 684-705. | MR | Zbl
[7] MORREY Ch. B.: Existence and differentiability theorems for the solutions of variational problems for multiple integrals. Bull. Am. Math. Soc. 46 (1940), 439-458. | MR | Zbl
[8] NASH J.: Continuity of solutions of parabolic and elliptic equations. Amer. J. Math. 80 (1950),931-954. | MR
[9] NEČAS J.: Sur la régularité des solutions variationalles des équations elliptiques non-linéaires d'ordre $2k$ en deux dimensions. Annali Sc. Norm. Sup. Pisa 21 (1967), 427-457. | MR
[10] NEČAS J.: Example of an irregular solution to a nonlinear elliptic system with analytic coefficients and conditions for regularity. Abh. Deutsch. Akad. Wiss. Berlin K1. Math. Phys. Tech., 1977, 1N, 197-206. | MR