ABSTRACT
We study the behaviour of solutions of semilinear partial differential inequalities of the form
which are defined, measurable and locally bounded in the whole space
and which belong locally to a Sobolev-type function space associated with a linear partial differential operator
defined in
, where
and q>1. We assume that the coefficients
of the operator L are measurable, locally bounded and such that
, and that the quadratic form associated with the operator L is non-negative definite.
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Disclosure statement
No potential conflict of interest was reported by the author.