Horizontal p-Kirchhoff equation on the Heisenberg group

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Horizontal p-Kirchhoff equation on the Heisenberg group

Razani, Abdolrahman

Bulletin des sciences mathématiques, July 2024, 2024-07-00, Volume: 193

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We study the existence and multiplicity of solutions both for the isotropic and the anisotropic horizontal p-Kirchhoff equations on the Heisenberg group Hn, via Krasnoselskii's genus. Finally, an interesting question for the anisotropic embedding in the subelliptic literature is presented and it is conjectured that the exponent p‾⁎:=QnQ∑i=1n1pi−n can be the effective critical exponent in the setting of anisotropic horizontal Sobolev space.

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