A global second order Sobolev regularity for p-Laplacian type equations with variable coefficients in bounded domains

2022/07/13 by Qianyun Miao, Fa Peng, Miao, Qianyun +3
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems

paper · pdf · doi:10.48550/arxiv.2207.06143

Abstract

Let Ω⊂ Rⁿ be a bounded convex domain with n≥2. Suppose that A is uniformly elliptic and belongs to W^1,n when n≥ 3 or W^1,q for some q>2 when n=2. For 1

Related

• Global Sobolev regularity for general elliptic equations of p-Laplacian type
• A quantitative second order Sobolev regularity for (inhmogeneous) normalized p(⋅)-Laplace equations
• Global BMO-Sobolev Estimates for Second-Order Linear Elliptic Equations on Lipschitz Domains
• Second order regularity for degenerate p-Laplace type equations with log-concave weights
• Revised regularity results for quasilinear elliptic problems driven by the Φ-Laplacian operator