Quasilinear elliptic problems with general growth and merely integrable,\n or measure, data

2017/08/24 by Andrea Cianchi, Cianchi, Andrea, Vladimir Maz’ya +1 · 1 citation
Mathematics · #35J25 #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1708.07432

openalex publication_date 2017/08/24 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

Boundary value problems for a class of quasilinear elliptic equations, with\nan Orlicz type growth and L¹ right-hand side are considered. Both Dirichlet\nand Neumann problems are contemplated. Existence and uniqueness of generalized\nsolutions, as well as their regularity, are established. The case of measure\nright-hand sides is also analyzed.\n

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• Interior a priori estimate for higher order elliptic systems in Orlicz spaces

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