An example of irregular solution to a nonlinear Euler-Lagrange elliptic system with real analytic coefficients

Wenge Hao; Salvatore Leonardi; Jindřich Nečas

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1996)

  • Volume: 23, Issue: 1, page 57-67
  • ISSN: 0391-173X

How to cite

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Hao, Wenge, Leonardi, Salvatore, and Nečas, Jindřich. "An example of irregular solution to a nonlinear Euler-Lagrange elliptic system with real analytic coefficients." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 23.1 (1996): 57-67. <http://eudml.org/doc/84226>.

@article{Hao1996,
author = {Hao, Wenge, Leonardi, Salvatore, Nečas, Jindřich},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {irregular solution},
language = {eng},
number = {1},
pages = {57-67},
publisher = {Scuola normale superiore},
title = {An example of irregular solution to a nonlinear Euler-Lagrange elliptic system with real analytic coefficients},
url = {http://eudml.org/doc/84226},
volume = {23},
year = {1996},
}

TY - JOUR
AU - Hao, Wenge
AU - Leonardi, Salvatore
AU - Nečas, Jindřich
TI - An example of irregular solution to a nonlinear Euler-Lagrange elliptic system with real analytic coefficients
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1996
PB - Scuola normale superiore
VL - 23
IS - 1
SP - 57
EP - 67
LA - eng
KW - irregular solution
UR - http://eudml.org/doc/84226
ER -

References

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  1. [1] E. De Giorgi, Un esempio di estremali discontinue per un problema variazionale di tipo ellittico, Boll. Un. Mat. Ital.4 (1968), 135-137. Zbl0155.17603MR227827
  2. [2] M. Giaquinta, Multiple integrals in the calculus of variations and nonlinear elliptic systems, Princeton University Press, Princeton, 1983. Zbl0516.49003MR717034
  3. [3] M. Giaquinta, Introduction to the regularity theory for nonlinear elliptci systems, Birkhäuser Verlag, Basel, Boston, Berlin1993. Zbl0786.35001MR1239172
  4. [4] E. Giusti - M. Miranda, Un esempio di soluzione discontinua per un problema di minimo relativo ad un integrale regolare del calcolo delle variazioni, Boll. Un. Mat. Ital.2 (1968), 1-8. Zbl0155.44501MR232265
  5. [5] J. Ne, Example of an irregular solution to a nonlinear elliptic system with analytic coefficients and conditions for regularity, Theory of Nonlinear Operators, Abhandlungen Akad. der Wissen. der DDR (1977), Proc. of a Summer School held in Berlin (1975). Zbl0372.35031MR509483
  6. [6] J. Nečas - O. John - J. Stará, Counterexample to the regularity of weak solutions of elliptic systems, Comment. Math. Univ. Carolinae21 (1980), 145-154. Zbl0442.35034MR566246
  7. [7] J Nečas, Introduction to the theory of nonlinear elliptic equations, Teubner Texte zur Mathematik, Leipzig1983. Zbl0526.35003MR731261

Citations in EuDML Documents

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  1. Nečasová, Š. , Hana Petzeltová, Milan Pokorný, Adélia Sequeira, To the 70th anniversary of birthday of Prof. Nečas
  2. Frank Duzaar, Giuseppe Mingione, Second order parabolic systems, optimal regularity, and singular sets of solutions
  3. Giuseppe Mingione, Regularity of minima: an invitation to the Dark Side of the Calculus of Variations
  4. Ivan Hlaváček, Oldřich John, Alois Kufner, Josef Málek, Nečasová, Š. , Jana Stará, Vladimír Šverák, In Memoriam Jindřich Nečas

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