Existence and asymptotic behavior of entire large solutions for Hessian equations

2023/10/14 by Xiang Li, Jiguang Bao, Li, Xiang +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2310.09579

openalex publication_date 2023/10/14 · openalex created_date 2023/10/18 · openalex updated_date 2026/07/28

Abstract

In this paper, we give some existence and nonexistence results for nonradial entire large solutions of the Hessian equation S_k(D² u)=b(x) u^γ in the sublinear case 0<γ

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