Extremals in nonlinear potential theory

2020/05/27 by Hynd, Ryan, Seuffert, Francis
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2005.13615

Abstract

We consider the PDE -Δ_pu=ρ, where ρ is a signed Borel measure on ℝⁿ. For each p>n, we characterize solutions as extremals of a generalized Morrey inequality determined by ρ.

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