Geodesic
Nowhere continuous solutions to elliptic systems
Commentationes Mathematicae Universitatis Carolinae, Tome 30 (1989) no. 1, pp. 33-43 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 35D10, 35J45, 35J50 
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John, Oldřich; Malý, Jan; Stará, Jana. Nowhere continuous solutions to elliptic systems. Commentationes Mathematicae Universitatis Carolinae, Tome 30 (1989) no. 1, pp. 33-43. http://geodesic.mathdoc.fr/item/CMUC_1989_30_1_a3/

[1] De Giorgi E.: Un esempio di estremali discontinue per un problema variazionale di tipo ellittico. Boll. U.M.I. 4 (1968), 135-137. | MR

[2] Denjoy A.: Sur les functions dérivées sommables. Bull. Soc. math. France 43 (1915), 161-248. | MR

[3] Deny J., Lions J. L.: Les espaces du type Beppo Levi. Ann. Inst. Fourier 5 (1955), 305-370. | MR

[4] Douglis A., Nirenberg L.: Interior estimates for elliptic systems of partial differential equations. Comm. Pure Appl. Math. 8 (1955), 503-538. | MR | Zbl

[5] Federer H., Ziemer W. P.: The Lebesque set of a function whose distribution derivatives are p-th power summable. Indiana Univ. Math. J. 22 (2) (1972), 139-158. | MR

[6] Frehse J.: Capacity methods in the theory of partial differential equations. Jber. Deutsch. Math. Verein. 84 (1982), 1-44. | MR | Zbl

[7] Frostman O.: Potentials d'équilibre et capacité des ensembles avec quelques applications a la théorie des fonctions. Meddel. Lunds Univ. Matem. Sem. 3 (1935).

[8] Fuglede B.: The quasi topology associated with a countably subaditive set function. Ann. Inst. Fourier 21 (1971), 123-169. | MR

[9] Giaquinta M.: Multiple integrals in the calculus of variations and nonlinear elliptic systems. Annals of Math. Studies 105, Princeton University Press, Princeton (1983). | MR | Zbl

[10] Giusti E.: Precisazione delle funzioni $H^{1,p} e singolarita delle soluzioni deboli di sistemi ellittici non lineari. Boll. U.M.I. 2 (1969), 71-76. | MR

[11] Giusti E.: Regolarita parziale delle soluzioni di sistemi ellittici quasilineari di ordine arbttrario. Ann. Sc. Norm. Sup. Pisa 23 (1969), 115-141. | MR

[12] Giusti E., Miranda M.: Un esempio di soluzioni discontinue per un problema di minimo relativo ad un integrate regolare del calcolo delle variazioni. Boll. U.M.I. 2 (1968), 1-8. | MR

[13] Koshelev A. I.: Regularity of solutions of quasilinear elliptic systems. Uspekhi Mat. Nauk 33 (1978), 3-49; Engl. trans. Russian Math. Survey 33 (1978), 1-52. | MR

[14] Malý J.: Nonisolated singularities of solutions to a quasilinear elliptic system. Comment. Math. Univ. Carolinae 29, 3 (1988), 421-426. | MR

[15] Mazja V. G., Havin V. P.: Nonlinear potential theory. (Russian), Uspekhi Mat. Nauk 27, 6 (1972), 67-138. | MR

[16] Meyers N. G.: An $L^p$ -estimate for the gradient of solutions of second order elliptic divergence equations. Ann. Sc. Norm Sup. Pisa (3) 17 (1963), 189-206. | MR

[17] Meyers N. G.: Continuity properties of potentials. Duke Math. J. 42 (1975), 157-166. | MR | Zbl

[18] Morrey C. B.: Second order elliptic systems of differential equations. Ann. of Math. Studies No 33, Princeton University Press (1954), 101-159. | MR | Zbl

[19] Souček J.: Singular solution to linear elliptic systems. Comment. Math. Univ. Carolinae 25 (1984), 273-281. | MR