Liouville comparison principles for solutions of semilinear elliptic second-order partial differential inequalities

摘要

The purpose of this work is to obtain new Liouville comparison principles for entire weak solutions of semilinear elliptic second-order partial differential inequalities of the forms and on ?~n, where n ≥ 2, q > 0 and ? is a linear (possibly non-uniformly) elliptic partial differential operator of second order in divergence form, in terms of the behaviour of the coefficients of the operator ? at infinity in a function space directly associated with ?.