REVIEW 2 cited by
Liouville-type results for the CR Yamabe equation in the Heisenberg group
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
abstract
We obtain Liouville-type results for solutions to the CR Yamabe equation in $\mathbb{H}^n$, which extend a result obtained by Jerison and Lee for solutions in $L^{2+2/n}(\mathbb{H}^n)$. We obtain our results under either pointwise conditions or integral conditions at infinity. In particular, our results hold for all bounded solutions when $n=2$ and solutions satisfying a pointwise decay assumption when $n\ge3$. The proofs rely on integral estimates combined with a suitable divergence formula.
Forward citations
Cited by 2 Pith papers
-
A Liouville theorem for the $2$-Hessian equation on the Heisenberg group
For Q>4 and α≤2Q/(Q−4), the equation σ_2(Hess_X u)=(−u)^α on the Heisenberg group admits no negative 2-convex entire solution.
-
Classification of positive entire solutions of the CR Yamabe equation on the Heisenberg group
Every positive entire solution of the critical CR Yamabe equation on the Heisenberg group H^n for n≥2 is a Jerison-Lee bubble.
Discussion (0). Continue with ORCID to comment.