Radial solutions for a quasilinear elliptic system of Schrödinger type

2011/05/14 by Dragoş-Pătru Covei, Covei, Dragos-Patru
Mathematics · #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1105.2863

openalex publication_date 2011/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we analyze the existence of entire radially symmetric solutions for Schrodinger system type Δ_p_iu_i+h_i(r)|∇ u_i|^p_i-1=a_i(r)f_i(u₁,...,u_d) for i=1,...,d on R^N where p_i>1, d ∈ 1,2,3,..., h_i and a_i are nonnegative radial continuous functions and f_i are nonnegative increasing continuous functions on [0,∞).

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