PAPER / ARXIV:2609.17072

Classification of finite energy positive solutions to Yamabe-type equation on the fifteen dimensional octonionic Heisenberg group

Daowen Lin

RESUMO

We classify finite-energy positive solutions to the Yamabe-type equation on the 15-dimensional octonionic Heisenberg group, whose algebra is non-associative. Extremals for the Folland-Stein-Sobolev inequality on this group are explicitly described. This confirms the conjecture of Garofalo and Vassilev [Duke Math. J. 2001] on the $15$ dimensional octonionic Heisenberg group.

NO MESMO MAPA

Papers relacionados

math.AP18 de set. de 2026

The Cauchy problem for logarithmic Schr{ö}dinger equation with a perturbation of power law nonlinearity

Mohamed Bensaid (LPP, Paradyse)

Classification of finite energy positive solutions to Yamabe-type equation on the fifteen dimensional octonionic Heisenberg group

Papers relacionados

The Cauchy problem for logarithmic Schr{ö}dinger equation with a perturbation of power law nonlinearity

Mean curvature flows with cylindrical singularities II: stability and genericity

$L^2$-regularity of minimizers of anisotropic interaction functionals

The unique solvability of strong solution to the multi-dimensional nonhomogeneous incompressible two-phase magnetohydrodynamic model

Long-time dynamics for the magnetic Schr{ö}dinger equation on the torus

A constructive approach to range characterization of spherical mean transform in odd dimensions