The set of nonnegative solutions to the critical sub-elliptic equation with nonnegative potential on the Heisenberg group is compact when the potential satisfies non-degeneracy conditions; any blow-up sequence forces both the potential and its sub-Laplacian to vanish at the blow-up point.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Compactness of Solutions to Sub-Elliptic Equations with Potential on the Heisenberg Group
The set of nonnegative solutions to the critical sub-elliptic equation with nonnegative potential on the Heisenberg group is compact when the potential satisfies non-degeneracy conditions; any blow-up sequence forces both the potential and its sub-Laplacian to vanish at the blow-up point.