arXiv Open Access 2020

Extremals in nonlinear potential theory

Ryan Hynd Francis Seuffert
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Abstrak

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

Topik & Kata Kunci

Penulis (2)

R

Ryan Hynd

F

Francis Seuffert

Format Sitasi

Hynd, R., Seuffert, F. (2020). Extremals in nonlinear potential theory. https://arxiv.org/abs/2005.13615

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Informasi Jurnal
Tahun Terbit
2020
Bahasa
en
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arXiv
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Open Access ✓