On Liouville theorem and Hölder continuity of weak solutions to some quasilinear elliptic systems of higher order. (English) Zbl 0817.35015

Balanda, Lubomír; Viszus, Eugen

Math. Bohem. 117, No. 4, 373-392 (1992).

Summary: The aim of this paper is to show that the Liouville-type property is a sufficient and necessary condition for the regularity of weak solutions of quasilinear elliptic systems of higher orders.

MSC:

35D10	Regularity of generalized solutions of PDE (MSC2000)
35J60	Nonlinear elliptic equations
35J45	Systems of elliptic equations, general (MSC2000)

Keywords:

Liouville property; regularity