Abstract

ABSTRACTThe purpose of this paper is to study the existence of weak solutions for some classes of one-parameter subelliptic gradient-type systems involving a Sobolev–Hardy potential defined on an unbounded domain of the Heisenberg group () whose geometrical profile is determined by two real positive functions and that are bounded on bounded sets. A key ingredient for our variational approach is a very general min–max argument valid for sufficiently smooth functionals defined on reflexive Banach spaces.

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