Abstract: A uniqueness theorem for very weak solutions of a
nonhomogeneous A-harmonic equation connected with
quasiregular mappings is proved by using the Hodge decomposition method. The
solutions need not take zero boundary values in the whole boundary ¶W,
that is, these take zero boundary values on where E
is a closed set with
Keywords and phrases: quasiregular mappings, nonhomogeneous A-harmonic equation, very weak solution, uniqueness.
