Uniform limits of certain A-harmonic functions with applications to quasiregular mappings
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Publication:3349259
DOI10.5186/aasfm.1991.1609zbMath0727.35022OpenAlexW2075720886MaRDI QIDQ3349259
Alexandre Eremenko, John L. Lewis
Publication date: 1992
Published in: Annales Academiae Scientiarum Fennicae Series A I Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5186/aasfm.1991.1609
Nonlinear elliptic equations (35J60) Other generalizations (nonlinear potential theory, etc.) (31C45) Quasiconformal mappings in the complex plane (30C62) Qualitative properties of solutions to partial differential equations (35B99)
Related Items (20)
On a conditional theorem of Littlewood for quasiregular entire functions ⋮ The boundary Harnack inequality for variable exponent \(p\)-Laplacian, Carleson estimates, barrier functions and \(p(\cdot)\)-harmonic measures ⋮ A big Picard theorem for quasiregular mappings into manifolds with many ends ⋮ The Brunn-Minkowski inequality and a Minkowski problem for \(\mathcal{A} \)-harmonic Green's function ⋮ Applications of Boundary Harnack Inequalities for p Harmonic Functions and Related Topics ⋮ Quasiregular maps on Carnot groups ⋮ Harmonic morphisms in nonlinear potential theory ⋮ On the range of harmonic maps in the plane ⋮ Sharpness of Rrickman's Picard theorem in all dimensions ⋮ Non-uniqueness in a free boundary problem ⋮ Symmetry theorems and uniform rectifiability ⋮ The weak-\(A_\infty\) property of harmonic and \(p\)-harmonic measures implies uniform rectifiability ⋮ Picard's theorem and the Rickman construction ⋮ The boundary Harnack inequality for infinity harmonic functions in the plane ⋮ Boundary behaviour for p harmonic functions in Lipschitz and starlike Lipschitz ring domains ⋮ An extension of Lewis's Lemma, renormalization of harmonic and analytic functions, and normal families ⋮ Note on an eigenvalue problem with applications to a Minkowski type regularity problem in \(\mathbb{R}^n\) ⋮ The Rickman–Picard theorem ⋮ A bound on the cohomology of quasiregularly elliptic manifolds ⋮ Mappings of finite distortion: the Rickman-Picard theorem for mappings of finite lower order
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