Algebraic structure of quasiradial solutions to the γ-harmonic equation
2006 (English)In: Pacific Journal of Mathematics, ISSN 0030-8730, Vol. 226, no 1, 179-200 p.Article in journal (Refereed) Published
We obtain an explicit representation for quasiradial γ-harmonic functions, which shows that these functions have an essentially algebraic nature. We give a complete description of all γ that admit algebraic quasiradial solutions. Unlike the cases γ = ∞ and γ = 1, only finitely many algebraic solutions are shown to exist for any fixed |γ| > 1. A special extremal series of γ corresponds exactly to the well known ideal m-atomic gas adiabatic constant γ = (2m + 3)∕(2m + 1)..
Place, publisher, year, edition, pages
2006. Vol. 226, no 1, 179-200 p.
γ-harmonic function, quasiradial solution, algebraic function
IdentifiersURN: urn:nbn:se:liu:diva-79625DOI: 10.2140/pjm.2006.226.179OAI: oai:DiVA.org:liu-79625DiVA: diva2:607581