On maximum principles and Liouville theorems for quasilinear elliptic equations and systems

Bernhard Kawohl

Commentationes Mathematicae Universitatis Carolinae (1983)

  • Volume: 024, Issue: 4, page 647-655
  • ISSN: 0010-2628

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Kawohl, Bernhard. "On maximum principles and Liouville theorems for quasilinear elliptic equations and systems." Commentationes Mathematicae Universitatis Carolinae 024.4 (1983): 647-655. <http://eudml.org/doc/17283>.

@article{Kawohl1983,
author = {Kawohl, Bernhard},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {quasilinear differential equations; divergence form; strong maximum principle; Liouville theorem},
language = {eng},
number = {4},
pages = {647-655},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On maximum principles and Liouville theorems for quasilinear elliptic equations and systems},
url = {http://eudml.org/doc/17283},
volume = {024},
year = {1983},
}

TY - JOUR
AU - Kawohl, Bernhard
TI - On maximum principles and Liouville theorems for quasilinear elliptic equations and systems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1983
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 024
IS - 4
SP - 647
EP - 655
LA - eng
KW - quasilinear differential equations; divergence form; strong maximum principle; Liouville theorem
UR - http://eudml.org/doc/17283
ER -

References

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  1. J. FREHSE, On the regularity of solutions to elliptic differential inequalities, Preprint, Bonn 1981. (1981) Zbl0482.35018MR0657387
  2. M. GIAQUTNTA, Multiple integrals in the calculus of variations and nonlinear elliptic systems, Preprint, Bonn, 1981. (1981) 
  3. M. GIAQUTNTA J. NEČAS, On the regularity of weak solutions to nonlinear elliptic systems via Liouville's type property, Comment. Math. Univ. Carolinae 20 (1979), 111-121. (1979) MR0526152
  4. D. GILBARG N. S. TRUDINGER, Elliptic partial differential equations of second order, Springer, Berlin etc., 1977. (1977) MR0473443
  5. S. HILDEBRANDT, Nonlinear elliptic systems and harmonic mappings, Preprint, Bonn 1980. (1980) MR0714341
  6. S. HILDEBRANDT K. O. WIDMAN, Sätze vom Liouvilleschen Typ für quasilineare elliptische Gleichungen und Systems, Nachr. Akad. Wiss. Göttingen, II. Math. Phys. Kl. 4 (1979), 41-59. (1979) MR0568802
  7. O. JOHN, The interior regularity and the Liouville property for the quasilinear parabolic systems, Comment. Math. Univ. Carolinae 23 (1982), 685-690. (1982) Zbl0506.35054MR0687563
  8. B. KAWOHL, On Liouville-theorem, continuity and Hölder-continuity of weak solutions to some quasilinear elliptic systems, Comment. Math. Univ. Carolinae 21 (1980), 679-697. (1980) Zbl0421.35023MR0597758
  9. D. KINDERLEHRER G. STAMPACCHIA, An introduction to Variational Inequalities and their Applications, Academic Press, New York, etc., 1980. (1980) MR0567696
  10. P. L. LIONS J. NEČAS I. NETUKA, A Liouville theorem for nonlinear elliptic systems with isotropic nonlinearities, Comment. Math. Univ. Carolinae 23 (1982), 645-655. (1982) MR0687560
  11. M. MEIER, Liouville theorems for nonlinear elliptic equations and systems, Manuscripta Math. 29 (1979), 207-228. (1979) Zbl0426.35034MR0545042
  12. M. MEIER, Liouville theorems for nondiagonal elliptic systems in arbitrary dimensions, Math. Z. 176 (1981), 123-133. (1981) Zbl0454.35034MR0606175
  13. M. MEIER, Liouville theorems, partial regularity and Hölder continuity of weak solutions to quasilinear elliptic systems, To appear. Zbl0556.35047MR0742430
  14. H. WIEGNER, Das Existents und Regularitätsproblem bei Systemen nichtlinearer elliptischer Differentialgleichungen, Habilitations-schrift, Bochum 1977. (1977) 

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