On maximum principles and Liouville theorems for quasilinear elliptic equations and systems
Kawohl, Bernhard
Commentationes Mathematicae Universitatis Carolinae, Tome 024 (1983), p. 647-655 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1983-01-01
Classification:  35B35,  35B50,  35J45,  35J55,  35J60 
@article{106262,
     author = {Bernhard Kawohl},
     title = {On maximum principles and Liouville theorems for quasilinear elliptic equations and systems},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {024},
     year = {1983},
     pages = {647-655},
     zbl = {0543.35031},
     mrnumber = {738560},
     language = {en},
     url = {http://dml.mathdoc.fr/item/106262}
}

Kawohl, Bernhard. On maximum principles and Liouville theorems for quasilinear elliptic equations and systems. Commentationes Mathematicae Universitatis Carolinae, Tome 024 (1983) pp. 647-655. http://gdmltest.u-ga.fr/item/106262/

J. Frehse On the regularity of solutions to elliptic differential inequalities, Preprint, Bonn 1981. (1981) | MR 0657387 | Zbl 0482.35018

M. Giaqutnta Multiple integrals in the calculus of variations and nonlinear elliptic systems, Preprint, Bonn, 1981. (1981)

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) | MR 0526152

D. Gilbarg N. S. Trudinger Elliptic partial differential equations of second order, Springer, Berlin etc., 1977. (1977) | MR 0473443

S. Hildebrandt Nonlinear elliptic systems and harmonic mappings, Preprint, Bonn 1980. (1980) | MR 0714341

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) | MR 0568802

O. John The interior regularity and the Liouville property for the quasilinear parabolic systems, Comment. Math. Univ. Carolinae 23 (1982), 685-690. (1982) | MR 0687563 | Zbl 0506.35054

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) | MR 0597758 | Zbl 0421.35023

D. Kinderlehrer G. Stampacchia An introduction to Variational Inequalities and their Applications, Academic Press, New York, etc., 1980. (1980) | MR 0567696

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) | MR 0687560

M. Meier Liouville theorems for nonlinear elliptic equations and systems, Manuscripta Math. 29 (1979), 207-228. (1979) | MR 0545042 | Zbl 0426.35034

M. Meier Liouville theorems for nondiagonal elliptic systems in arbitrary dimensions, Math. Z. 176 (1981), 123-133. (1981) | MR 0606175 | Zbl 0454.35034

M. Meier Liouville theorems, partial regularity and Hölder continuity of weak solutions to quasilinear elliptic systems, To appear. | MR 0742430 | Zbl 0556.35047

H. Wiegner Das Existents und Regularitätsproblem bei Systemen nichtlinearer elliptischer Differentialgleichungen, Habilitations-schrift, Bochum 1977. (1977)