Collectanea Mathematica

, Volume 69, Issue 3, pp 407–426 | Cite as

Wolff potential estimates for Cheeger p-harmonic functions

  • Takanobu HaraEmail author


In this note, we give a new proof of Wolff potential estimates for Cheeger p-superharmonic functions on metric measure spaces given by Björn et al. (J Anal Math 85:339–369, 2001). Also, we extend the estimate to Poisson type equations with signed data.


Nonlinear elliptic equations p-Laplacian Wolff potentials Metric space Doubling measure Poincarë inequality Potential theory 

Mathematics Subject Classification

31C45 35J62 31C15 31C05 



The author wishes to thank Professor Hiroaki Aikawa for suggesting this problem. The author would like to thank the reviewers for carefully reading the manuscript and the helpful comments.


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Copyright information

© Universitat de Barcelona 2018

Authors and Affiliations

  1. 1.Department of MathematicsHokkaido UniversitySapporoJapan

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