Semilinear Parabolic Equations on the Heisenberg Group with a Singular Potential

Houda Mokrani and Fatimetou Mint Aghrabatt

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: 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.

Date: 2012
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https://doi.org/10.1155/2012/749683

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:749683

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