Algebraic structure of quasiradial solutions to the $γ$-harmonic equation
| dc.creator | Tkachev, Vladimir | |
| dc.date | 2007-09-27 | |
| dc.date.accessioned | 2026-07-07T08:32:40Z | |
| dc.date.available | 2026-07-07T08:32:40Z | |
| dc.description | We obtain an explicit representation for quasiradial $γ$-harmonic functions, which shows that these functions have essentially algebraic nature. In particular, we give a complete description of all $γ$ which admit algebraic quasiradial solutions. Unlike the cases $γ=\infty$ and $γ=1$, only finitely many algebraic solutions is shown to exist for any fixed $|γ|>1$. Moreover, there is a special extremal series of $γ$ which exactly corresponds to the well-known ideal $m$-atomic gas adiabatic constant $γ=\frac{2m+3}{2m+1}$. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/0709.4472 | |
| dc.identifier | http://arxiv.org/abs/0709.4472 | |
| dc.identifier | Pacific J. Math., 226 (2006), no. 1, 179-200 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138865 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J60; 14H05; 70H11; 14H70 | |
| dc.title | Algebraic structure of quasiradial solutions to the $γ$-harmonic equation | |
| dc.type | text |