On p Laplace polynomial solutions

John L. Lewis, Andrew Vogel

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We determine all real homogeneous polynomial solutions to the p Laplace equation, - ∞< p< ∞, p≠ 1 , 2 , of degree four in Rn, n≥ 3 , and show there are no degree five real homogeneous polynomial solutions in R3, when - ∞< p< ∞, p≠ 1 , 2.

Original languageEnglish (US)
Pages (from-to)143-166
Number of pages24
JournalJournal of Analysis
Issue number1
StatePublished - Jun 2016


  • p Harmonic functions
  • p Laplacian
  • Polynomial solutions
  • Real analytic

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Analysis
  • Applied Mathematics
  • Geometry and Topology


Dive into the research topics of 'On p Laplace polynomial solutions'. Together they form a unique fingerprint.

Cite this