On the regularity of weak solutions to nonlinear elliptic systems via Liouville's type property

Mariano Giaquinta; Jindřich Nečas

Commentationes Mathematicae Universitatis Carolinae (1979)

  • Volume: 020, Issue: 1, page 111-121
  • ISSN: 0010-2628

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Giaquinta, Mariano, and Nečas, Jindřich. "On the regularity of weak solutions to nonlinear elliptic systems via Liouville's type property." Commentationes Mathematicae Universitatis Carolinae 020.1 (1979): 111-121. <http://eudml.org/doc/16951>.

@article{Giaquinta1979,
author = {Giaquinta, Mariano, Nečas, Jindřich},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Nonlinear Elliptic Systems; Liouville's Type Property; Regularity of Weak Solutions; Sobolev Space},
language = {eng},
number = {1},
pages = {111-121},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the regularity of weak solutions to nonlinear elliptic systems via Liouville's type property},
url = {http://eudml.org/doc/16951},
volume = {020},
year = {1979},
}

TY - JOUR
AU - Giaquinta, Mariano
AU - Nečas, Jindřich
TI - On the regularity of weak solutions to nonlinear elliptic systems via Liouville's type property
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1979
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 020
IS - 1
SP - 111
EP - 121
LA - eng
KW - Nonlinear Elliptic Systems; Liouville's Type Property; Regularity of Weak Solutions; Sobolev Space
UR - http://eudml.org/doc/16951
ER -

References

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  1. O. A. LADYŽENSKAJA N. N. URAL'CEVA, Linejnye i kvazilinejnye uravnenija elliptičeskogo tipa, Moscow (1973), 2-nd edition. (1973) 
  2. Ch. B. MORREY, Differentiability theorems for weak solutions of nonlinear elliptic differential equations, BAMS, Vol. 75 (1969), 684-705. (1969) Zbl0181.38001MR0246182
  3. E. De GIORGI, Sulla differenziabilità e analiticità delle estremali degli integrali multipli regolari, Mem. Acad. Sci. Torino Cl. Sci. Fis. Mat. Nat. (3), 3 (1957), 25-43. (1957) MR0093649
  4. J. NEČAS, Example of an irregular solution to a nonlinear elliptic system with analytic coefficients and conditions for regularity, Theory of Nonlinear Operators, Abhandlungen der Akademie der Wissenschaften der DDR, Jahrg. 1977, Nr. 1N, 197-206. (1977) MR0509483
  5. M. GIAQUINTA, Sistemi ellittici non lineari, Convegne su: Sistemi ellittici non lineari ed applicazieni, Università di Ferrara, Editrice Universitaria, 1978. (1978) 
  6. J. NEČAS, On the regularity of weak solutions to variational equations and inequalities for nonlinear second order elliptic systems, Proceedings of Equadiff IV, Prague 1977, to appear in Springs 1979. (1977) MR0535349
  7. Gh. B. MORREY, Partial regularity results for nonlinear elliptic systems, Journ. Math. and Mech. 17 (1968). (1968) 
  8. E. GIUSTI M. MIRANDA, Sulla regelarità delle soluzioni deboli di una classe di sistemi ellittici quasi lineari, Arch. Rat. Mech. and Anal. 31 (1968). (1968) MR0235264
  9. E. GIUSTI, Regolarità parziale delle soluzioni di sistemi ellittici quasi lineari di ordine arbitrario, Ann. Scuola Norm. Sup. Pisa 23 (1969). (1969) MR0247258
  10. S. CAMPANATO, Equazioni ellitiche del II ordine e spazi L 2 , λ , Ann. Mat. Pura e Appl. 69 (1965). (1965) MR0192168

Citations in EuDML Documents

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  1. Lubomír Balanda, Eugen Viszus, On Liouville theorem and the regularity of weak solutions to some nonlinear elliptic systems of higher order
  2. Oldřich John, The interior regularity and the Liouville property for the quasilinear parabolic systems
  3. Bernhard Kawohl, On maximum principles and Liouville theorems for quasilinear elliptic equations and systems
  4. Lubomír Balanda, Eugen Viszus, On Liouville theorem and Hölder continuity of weak solutions to some quasilinear elliptic systems of higher order
  5. Oldřich John, Jana Stará, On the regularity of the weak solution of Cauchy problem for nonlinear parabolic systems via Liouville property
  6. Bernhard Kawohl, On Liouville theorems, continuity and Hölder continuity of weak solutions to some quasilinear elliptic systems
  7. Ivan Hlaváček, Oldřich John, Alois Kufner, Josef Málek, Nečasová, Š. , Jana Stará, Vladimír Šverák, In Memoriam Jindřich Nečas

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