The Dirichlet problem for the uniformly higher-order elliptic equations in generalized weighted Sobolev-Morrey spaces

2019/11/05 by Vagif S. Guliyev, Guliyev, Vagif S., Tahir Gadjiev +3
Mathematics · #35J40 #42B20 #42B25 #42B35 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1911.01653

openalex publication_date 2019/11/05 · openalex created_date 2019/11/22 · openalex updated_date 2026/07/28

Abstract

A priori estimates for the weak solutions the Dirichlet problem for the uniformly higher-order elliptic equations in a smooth bounded domain Ω⊂ \Rn in generalized weighted Sobolev-Morrey spaces are obtained.

Citations

• On the solutions of quasi-linear elliptic partial differential equations

Related

• Higher order elliptic equations in weighted Banach spaces
• The Dirichlet problem in a class of generalized weighted spaces
• Higher Hölder regularity for degenerate elliptic PDEs with data in Morrey spaces
• Regularity estimates in weighted Morrey spaces for quasilinear elliptic equations
• Weighted Calderón-Zygmund estimates for weak solutions of quasi-linear degenerate elliptic equations