Singular solutions to linear elliptic systems
Commentationes Mathematicae Universitatis Carolinae (1984)
- Volume: 025, Issue: 2, page 273-281
- ISSN: 0010-2628
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topSouček, Jiří. "Singular solutions to linear elliptic systems." Commentationes Mathematicae Universitatis Carolinae 025.2 (1984): 273-281. <http://eudml.org/doc/17317>.
@article{Souček1984,
author = {Souček, Jiří},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {discontinuous weak solutions; irregular points; singular behaviour},
language = {eng},
number = {2},
pages = {273-281},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Singular solutions to linear elliptic systems},
url = {http://eudml.org/doc/17317},
volume = {025},
year = {1984},
}
TY - JOUR
AU - Souček, Jiří
TI - Singular solutions to linear elliptic systems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1984
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 025
IS - 2
SP - 273
EP - 281
LA - eng
KW - discontinuous weak solutions; irregular points; singular behaviour
UR - http://eudml.org/doc/17317
ER -
References
top- DE GIORGI E., Un esempio di estremali discontinue per un problema variazionale di tipo ellitico, Boll. U. M. I. 4 (1968). (1968) MR0227827
- GIUSTI E., MIRANDA M., Un esempio di soluzioni discontinue per un problema di minima relativo ad un integrale regolare del calcolo delle variazioni, Boll. U. M. I. 2 (1968), 1-8. (1968) MR0232265
- GIAQUINTA M., On the differentiability of the extremals of variational integrals, in "Nonlinear analysis, function spaces and applications 2", Teubner Texte zur Mathem., Leipzig 1982. (1982) MR0684997
- NEČAS J., On the regularity of weak solutions to variational equations and inequalities for nonlinear second order elliptic systems, Equadiff IV, Praha, Lecture Notes in Math. 703, Springer-Verlag. MR0535349
- GIAQUINTA M., NEČAS J., On the regularity of weak solutions to nonlinear elliptic systems of partial differential equations, J. für reine u. angew. Math. 316 (1980), 140. (1980) MR0581329
- KOSHELEV A. I., Regularity of solutions of quasi-linear elliptic systems, Russian Math. Surv. 33:4 (1978), 1-52. (1978) Zbl0413.35033MR0510669
- GIAQUINTA M., Multiple integrals in the calculus of variations and nonlinear elliptic systems, Annals of Math. Studies, Princeton Univ. Press, to appear. Zbl0516.49003MR0717034
Citations in EuDML Documents
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- Wenge Hao, Salvatore Leonardi, Mark Steinhauer, Examples of discontinuous, divergence-free solutions to elliptic variational problems
- Maria Rosaria Formica, Carlo Sbordone, On the -convergence of Morrey operators
- Claudia Capone, Quasiharmonic fields and Beltrami operators
- Oldřich John, Jan Malý, Jana Stará, Nowhere continuous solutions to elliptic systems
- Tadeusz Iwaniec, Carlo Sbordone, Quasiharmonic fields
- Giuseppe Mingione, Regularity of minima: an invitation to the Dark Side of the Calculus of Variations
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