Nonlinear nonhomogeneous Neumann problem on the Heisenberg group
F. Sarafi, A. Razani
Abstract
Here, the existence of at least one positive radial solution of the Nonlinear nonhomogeneous Neumann problem −ΔHnu+R(ξ)u=a(|ξ|Hn)|u|q−2u1+|u|q−p−b(|ξ|Hn)|u|q−2u,ξ∈Ω is proved on the Heisenberg group Hn, via variational principle, where Ω is the Korányi ball, a and b are nonnegative radial functions and R(ξ) holds in some suitable conditions.
Topics & Concepts
Heisenberg groupMathematicsGroup (periodic table)Nonlinear systemBall (mathematics)Von Neumann architectureMathematical analysisNeumann boundary conditionMathematical physicsPure mathematicsBoundary value problemPhysicsQuantum mechanicsNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringGeometric Analysis and Curvature Flows