Harmonic morphisms in nonlinear potential theory

DOI10.1017/S0027763000003937zbMath0776.31007MaRDI QIDQ4039462

Juha Heinonen, Tero Kilpeläinen, Olli Martio

Publication date: 30 August 1993

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

capacityquasiregular mappingasymptotic estimatesharmonic morphismsbounded length distorsion

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (15)

Weak BLD mappings and Hausdorff measure ⋮ Axiomatic theory of Sobolev spaces ⋮ Traces of monotone Sobolev functions ⋮ Classification of metric measure spaces and their ends using p-harmonic functions ⋮ Locally biHölder continuous maps and their induced embeddings between Besov spaces ⋮ Estimates for \(p\)-harmonic functions vanishing on a flat ⋮ Existence and multiplicity results for some quasilinear elliptic equation with weights ⋮ UNIQUENESS THEOREMS FOR MAPPINGS OF FINITE DISTORTION ⋮ Harmonic morphisms applied to classical potential theory ⋮ Geometric analysis on Cantor sets and trees ⋮ Quasiconformality, homeomorphisms between metric measure spaces preserving quasiminimizers, and uniform density property ⋮ Existence of solutions in weighted Sobolev spaces for some degenerate semilinear elliptic equations. ⋮ \(L^{\varphi}(\mu)\)-averaging domains and the quasi-hyperbolic metric ⋮ The classification of holomorphic (m, n)-subharmonic morphisms ⋮ Unnamed Item

Cites Work

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• Two theorems of N. Wiener for solutions of quasilinear elliptic equations
• Elliptic equations and maps of bounded length distortion
• A-superharmonic functions and supersolutions of degenerate elliptic equations
• A mapping of Riemannian manifolds which preserves harmonic functions
• On the number of omitted values of entire quasiregular mappings
• Capacity and measure
• Harnack sets and openness of harmonic morphisms
• Uniform limits of certain A-harmonic functions with applications to quasiregular mappings
• Polar sets for supersolutions of degenerate elliptic equations.
• F-harmonic measure in space
• Compactifications of Harmonic Spaces

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