Tensor products and sums of 𝑝\mspace{1𝑚𝑢}-harmonic functions, quasiminimizers and 𝑝\mspace{1𝑚𝑢}-admissible weights

DOI10.1090/proc/14170zbMath1407.31005arXiv1707.01687OpenAlexW2725597047MaRDI QIDQ4691340

Anders Björn, Jana Björn

Publication date: 23 October 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.01687

zbMATH Keywords

metric spacesdoubling measure\(p\)-harmonic functionstensor product of quasisuperminimizerstensor products of quasiminimizers

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (5)

Regularity of solutions to the fractional Cheeger-Laplacian on domains in metric spaces of bounded geometry ⋮ The quasisuperminimizing constant for the minimum of two quasisuperminimizers in R^n ⋮ Harmonic functions with BMO traces and their limiting behaviors on metric measure spaces ⋮ Removable sets for Newtonian Sobolev spaces and a characterization of \(p\)-path almost open sets ⋮ The Liouville theorem for \(p\)-harmonic functions and quasiminimizers with finite energy

Cites Work

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• Poincare inequalities, isoperimetric estimates, and representation formulas on product spaces
• Sharp conditions for 1-dimensional weighted Poincare inequalities
• Lattice property of $p$-admissible weights
• Admissible measures in one dimension

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