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- W4281554097 abstract "In this paper, we deal with the following quasilinear elliptic system involving gradient terms in the form: $$ begin{cases} Delta_p u= v^m| nabla u |^alpha & text{in}quad Omega Delta_p v= v^beta| nabla u |^q & text{in}quad Omega, end{cases} $$ where $Omegasubsetmathbb{R}^N (Ngeq 1)$ is either equal to $ mathbb{R}^N $ or equal to a ball $B_R$ centered at the origin and having radius $R>0$, $1 < p < infty$, $m,q > 0$, $alphageq 0$, $0leq betaleq m$ and $delta:=(p-1-alpha)(p-1-beta)-qm neq 0$. Our aim is to establish the asymptotics of the blowing-up radial solutions to the above system. Precisely, we provide the accurate asymptotic behavior at the boundary for such blowing-up radial solutions. For that, we prove a strong maximal principle for the problem of independent interest and study an auxiliary asymptotically autonomous system in $mathbb{R}^3$." @default.
- W4281554097 created "2022-05-27" @default.
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- W4281554097 date "2022-09-01" @default.
- W4281554097 modified "2023-10-16" @default.
- W4281554097 title "Asymptotic behavior of blowing-up radial solutions for quasilinear elliptic systems arising in the study of viscous, heat conducting fluids" @default.
- W4281554097 doi "https://doi.org/10.57262/die035-0910-511" @default.
- W4281554097 hasPublicationYear "2022" @default.
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