DOI: 10.1515/ms-2023-0071 ISSN: 1337-2211

An Elliptic Type Inclusion Problem on the Heisenberg Lie Group

Abdolrahman Razani, Farzaneh Safari
  • General Mathematics
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ABSTRACT

Here, the solvability of the following inclusion elliptic problem

− Δ H n , p u ∈ F ( ξ , u ) in     Ω , u = 0 on     ∂ Ω , $$\left\{ \begin{array}{lll} -\Delta _{\mathbb{H}^n, p}u\in \mathcal{F}(\xi, u)& \text{in} \ \Omega, \\ u=0 & \text{on} \ \partial \Omega, \end{array} \right.$$

is proved, via variational technique, where Ω is a Korányi ball in the Heisenberg Lie group ℍn and 𝓕: Ω × ℝ → 𝒫(ℝ) is a real set-valued mapping.

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