Sharp asymptotic expansions of entire large solutions to a class of k -Hessian equations with weights
Year: 2025
Type: article
Abstract: It is well-known that it is a quite interesting topic to study the asymptotic expansions of entire large solutions of nonlinear elliptic equations near infinity. But very little is done. In this study, we establish the ( m + 1 ) \left(m+1) -expansions of entire k k -convex large solutions near infinity to the k k -Hessian equation S k ( D 2 u ) = b ( x ) f ( u ) in R N , {S}_{k}\left({D}^{2}u)=b\left(x)f\left(u)\hspace{0.33em}\hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}{{\mathbb{R}}}^{N}, where m ∈ N + m\in {{\mathbb{N}}}_{+} , 1 ≤ k < N ⁄ 2 1\le k\lt N/2 , N ≥ 3 N\ge 3 , f ( u ) = u p f\left(u)={u}^{p} ( p > k p\gt k ) near infinity or f ( u
Source: Advances in Nonlinear Analysis
Author: Haitao Wan
Institution: Shandong Institute of Business and Technology
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,469
OpenAlex ID: W4409028000