Nowhere continuous solutions to elliptic systems

Oldřich John; Jan Malý; Jana Stará

Commentationes Mathematicae Universitatis Carolinae (1989)

  • Volume: 030, Issue: 1, page 33-43
  • ISSN: 0010-2628

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John, Oldřich, Malý, Jan, and Stará, Jana. "Nowhere continuous solutions to elliptic systems." Commentationes Mathematicae Universitatis Carolinae 030.1 (1989): 33-43. <http://eudml.org/doc/17695>.

@article{John1989,
author = {John, Oldřich, Malý, Jan, Stará, Jana},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {non-regularity; bounded coefficients; bounded weak solution; everywhere essentially discontinuous},
language = {eng},
number = {1},
pages = {33-43},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Nowhere continuous solutions to elliptic systems},
url = {http://eudml.org/doc/17695},
volume = {030},
year = {1989},
}

TY - JOUR
AU - John, Oldřich
AU - Malý, Jan
AU - Stará, Jana
TI - Nowhere continuous solutions to elliptic systems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1989
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 030
IS - 1
SP - 33
EP - 43
LA - eng
KW - non-regularity; bounded coefficients; bounded weak solution; everywhere essentially discontinuous
UR - http://eudml.org/doc/17695
ER -

References

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  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). (1935) 
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  10. Giusti E., [unknown], Boll. U.M.I. 2 (1969), 71-76. (1969) MR0243190
  11. Giusti E., Regolarita parziale delle soluzioni di sistemi ellittici quasilineari di ordine arbttrario, Ann. Sc. Norm. Sup. Pisa 23 (1969), 115-141. (1969) MR0247258
  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. (1968) MR0232265
  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. (1978) MR0510669
  14. Malý J., Nonisolated singularities of solutions to a quasilinear elliptic system, Comment. Math. Univ. Carolinae 29, 3 (1988), 421-426. (1988) MR0972826
  15. Mazja V. G., Havin V. P., Nonlinear potential theory, (Russian), Uspekhi Mat. Nauk 27, 6 (1972), 67-138. (1972) MR0409858
  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. (1963) MR0159110
  17. Meyers N. G., Continuity properties of potentials, Duke Math. J. 42 (1975), 157-166. (1975) Zbl0334.31004MR0367235
  18. Morrey C. B., Second order elliptic systems of differential equations, Ann. of Math. Studies No 33, Princeton University Press (1954), 101-159. (1954) Zbl0057.08301MR0068091
  19. Souček J., Singular solution to linear elliptic systems, Comment. Math. Univ. Carolinae 25 (1984), 273-281. (1984) MR0768815

Citations in EuDML Documents

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  1. Wenge Hao, Salvatore Leonardi, Mark Steinhauer, Examples of discontinuous, divergence-free solutions to elliptic variational problems
  2. Bruno De Maria, A regularity result for a convex functional and bounds for the singular set
  3. Jana Stará, Oldřich John, Some (new) counterexamples of parabolic systems
  4. Maria Rosaria Formica, Carlo Sbordone, On the G -convergence of Morrey operators
  5. Claudia Capone, Quasiharmonic fields and Beltrami operators
  6. Tadeusz Iwaniec, Carlo Sbordone, Quasiharmonic fields
  7. Giuseppe Mingione, Regularity of minima: an invitation to the Dark Side of the Calculus of Variations
  8. Ivan Hlaváček, Oldřich John, Alois Kufner, Josef Málek, Nečasová, Š. , Jana Stará, Vladimír Šverák, In Memoriam Jindřich Nečas

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