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

 Access to full text

 Full (PDF)

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 $L^{2,\lambda }$, Ann. Mat. Pura e Appl. 69 (1965). (1965) MR0192168

1. Oldřich John, The interior regularity and the Liouville property for the quasilinear parabolic systems
2. Lubomír Balanda, Eugen Viszus, On Liouville theorem and the regularity of weak solutions to some nonlinear elliptic systems of higher order
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