Third order estimates and the regularity of the stress field for solutions to p-Laplace equations

2024/02/27 by Daniel Baratta, Baratta, Daniel, Berardino Sciunzi +3 · 1 citation
Computer Science · Mathematics · #35B65 #35J60 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2402.17566

openalex publication_date 2024/02/27 · openalex created_date 2024/03/05 · openalex updated_date 2026/07/28

Abstract

We consider solutions to - Δ_p u = f(x) in Ω , when p approaches the semilinear limiting case p=2 and we get third order estimates. As a consequence we deduce improved regularity properties of the stress field.

Cited by

• Second-order boundary estimates for solutions to a class of quasilinear elliptic equations

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