Existence and uniqueness of \(\infty \)-harmonic functions under assumption of \(\infty \)-Poincaré inequality

DOI10.1007/s00208-018-1747-zzbMath1420.31003OpenAlexW2888697033WikidataQ109994307 ScholiaQ109994307MaRDI QIDQ2423431

Jesús Angel Jaramillo, Nageswari Shanmugalingam, Estibalitz Durand-Cartagena

Publication date: 21 June 2019

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-018-1747-z

zbMATH Keywords

metric measure space$\infty$-harmonic extensiondoubling measure, Poincaré inequatlity

Mathematics Subject Classification ID

Extension of maps (54C20) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Other generalizations (nonlinear potential theory, etc.) (31C45) Potential theory on fractals and metric spaces (31E05)

Related Items (2)

Infinity modulus and the essential metric ⋮ Equivalence of solutions of eikonal equation in metric spaces

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