Regularity of weak solutions to higher order elliptic systems in critical dimensions

DOI10.1090/tran/8326zbMath1478.35113arXiv2010.09149OpenAlexW3106449646MaRDI QIDQ5857751

Chang-Lin Xiang, Chang Yu Guo

Publication date: 7 April 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.09149

zbMATH Keywords

Hölder regularityLorentz-Sobolev spaceshigher-order elliptic systemsgauge transformRiesz potential theory

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Higher-order elliptic systems (35J48) Systems of nonlinear higher-order PDEs (35G50)

Related Items (6)

\(L^p\) regularity theory for even order elliptic systems with antisymmetric first order potentials ⋮ Sharp Morrey regularity theory for a fourth order geometrical equation ⋮ The Lamm-Rivière system. I: \(L^p\) regularity theory ⋮ Conservation laws for even order elliptic systems in the critical dimension -- a new approach ⋮ Regularity of weak solutions to higher order elliptic systems in critical dimensions ⋮ \(L^p\)-regularity for fourth order elliptic systems with antisymmetric potentials in higher dimensions

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