The growth of gradients of QC-mappings in \(n\)-dimensional Euclidean space with bounded Laplacian

DOI10.46793/KGJMAT2307.1029MMaRDI QIDQ6652406

Nikola Mutavdžić

Publication date: 12 December 2024

Published in: Kragujevac Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

quasiconformal harmonic mappingssecond order PDEboundary behavior of partial derivativesLaplacian-gradient inequalities

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Quasiconformal mappings in the complex plane (30C62)

Cites Work

• A priori estimate of gradient of a solution of a certain differential inequality and quasiconformal mappings
• On harmonic quasiconformal quasi-isometries
• On certain nonlinear elliptic differential equations and univalent mappings
• Inner estimate and quasiconformal harmonic maps between smooth domains
• Quasiconformal maps with controlled Laplacian
• Lectures on \(n\)-dimensional quasiconformal mappings
• Quasiconformal and HQC mappings between Lyapunov Jordan domains
• The growth of gradients of solutions of some elliptic equations and Bi-Lipschicity of QCH
• Quasiconformal mappings with controlled Laplacian and Hölder continuity
• The lower bound for the modulus of the derivatives and Jacobian of harmonic injective mappings
• Inequalities for the Green Function and Boundary Continuity of the Gradient of Solutions of Elliptic Differential Equations.
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