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Liouville theorems, partial regularity and Hölder continuity of weak solutions to quasilinear elliptic systems. (English) Zbl 0556.35047
From the author’s summary: ”This paper describes the connections between Liouville type theorems and interior regularity results for bounded weak solutions of quasilinear elliptic systems with quadratic growth. It is shown that equivalence does in general hold only in some restricted sense. A complete correspondence can be established in certain cases, e.g. for small solutions and for minima of quadratic variational integrals.”
Reviewer: A.D.Osborne

35J60 Nonlinear elliptic equations
35D10 Regularity of generalized solutions of PDE (MSC2000)
35B65 Smoothness and regularity of solutions to PDEs
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