Semilinear Parabolic Equations on the Heisenberg Group with a Singular Potential

الملخص EN

We discuss the asymptotic behavior of solutions for semilinear parabolic equations on the Heisenberg group with a singular potential.

The singularity is controlled by Hardy's inequality, and the nonlinearity is controlled by Sobolev's inequality.

We also establish the existence of a global branch of the corresponding steady states via the classical Rabinowitz theorem.