Affiliation:
1. Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University , Qazvin , IRAN
Abstract
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.