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Existence of radial solutions for a weighted p-biharmonic problem with navier boundary condition on the Heisenberg group

  • Farzaneh Safari und Abdolrahman Razani EMAIL logo
Veröffentlicht/Copyright: 11. Juni 2022
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Abstract

The existence of at least one positive radial solution of the p-biharmonic problem

Δ H n ( w ( ξ ) | Δ H n u | p 2 Δ H n u ) + R ( ξ ) w ( ξ ) | u | p 2 u = i = 1 m a i ( | ξ | H n ) | u | q i 2 u j = 1 k b j ( | ξ | H n ) | u | r j 2 u ,

with Navier boundary condition on a Korányi ball is proved, where wAs is a Muckenhoupt weight function and ΔHn,p2 is the Heisenberg p-biharmonic operator.

  1. (Communicated by Alberto Lastra)

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Received: 2020-11-05
Accepted: 2021-05-14
Published Online: 2022-06-11
Published in Print: 2022-06-27

© 2022 Mathematical Institute Slovak Academy of Sciences

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