We prove a type of “inner estimate” for quasi-conformal diffeomorphisms, which satisfies a
certain estimate concerning their Laplacian. This, in turn, implies that quasiconformal …

Let Ω and Ω 1 be Jordan domains, let μ∈(0, 1, and let f: Ω ↦\Omega_1 be a harmonic
homeomorphism. The object of the paper is to prove the following results:(a) If f is qc and∂ …

Research Article On Harmonic Quasiconformal Quasi-Isometries Page 1 Hindawi
Publishing Corporation Journal of Inequalities and Applications Volume 2010, Article ID …

Let $\mathcal {QC}(K, g) $ be a family of $ K $-quasiconformal mappings of the open unit
disk onto itself satisfying the PDE $\Delta w= g $, $ g\in C (\overline {\mathbb {U}}) $, $ w …

Roughly speaking, we continue to study questions initiated in [Mai](see Sections 2-3) and
[K2],[Ma2](see Section 1). The paper is organized as follows. In Section 1, we sketch a proof …

1 Introduction 2 Result Page 1 Faculty of Sciences and Mathematics, University of Niš, Serbia
Available at: http://www.pmf.ni.ac.yu/filomat Filomat 23:1 (2009), 85–89 BI-LIPSCHICITY OF …

We prove the following. If f is a harmonic quasiconformal mapping between the unit ball in ℝ
n R^n and a spatial domain with C 1, α boundary, then f is Lipschitz continuous in B. This …

In this paper, we investigate solutions of the hyperbolic Poisson equation Δ _ hu (x)= ψ (x) Δ
hu (x)= ψ (x), where ψ ∈ L^ ∞ (B^ n,\mathbb R^ n) ψ∈ L∞(B n, R n) and Δ _ hu (x)=(1-| x …

On Pavlovic’s Theorem in Space Page 1 Potential Anal (2015) 43:361–370 DOI 10.1007/s11118-015-9475-4
On Pavlovic’s Theorem in Space Kari Astala1,2,3 ·Vesna Manojlovic4 Received: 30 October …

In this paper, we introduce a new class SH šk, g; fŽ of harmonic quasiconformal mappings,
where k A ½0, 1Ž, g A ½0, pŽ and f is an analytic function. Sufficient conditions for the linear …