\(L^p\)-regularity for fourth order elliptic systems with antisymmetric potentials in higher dimensions

DOI10.1007/s00526-022-02373-7zbMath1505.35155arXiv2111.07227OpenAlexW3216936605WikidataQ115385789 ScholiaQ115385789MaRDI QIDQ2099842

Yanyan Li

Publication date: 18 November 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.07227

zbMATH Keywords

\(L^p\)-regularityfourth-order elliptic systems

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 (1)

Sharp Morrey regularity theory for a fourth order geometrical equation

Cites Work

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• Energy identity of approximate biharmonic maps to Riemannian manifolds and its application
• Higher integrability for solutions to a system of critical elliptic PDE
• Morrey spaces
• Partial regularity for biharmonic maps, revisited
• An improved uniqueness result for the harmonic map flow in two dimensions
• Partial regularity for stationary harmonic maps into spheres
• A note on Riesz potentials
• On the singular set of stationary harmonic maps
• Biharmonic maps from \(\mathbb R^4\) into a Riemannian manifold
• The Lamm-Rivière system. I: \(L^p\) regularity theory
• Conservation laws for even order systems of polyharmonic map type
• \(L^p\) regularity theory for even order elliptic systems with antisymmetric first order potentials
• Conservation laws for conformally invariant variational problems
• Angular energy quantization for linear elliptic systems with antisymmetric potentials and applications
• Regularity and uniqueness of a class of biharmonic map heat flows
• Energy convexity of intrinsic bi-harmonic maps and applications. I: Spherical target
• Decay estimates for Rivière’s equation, with applications to regularity and compactness
• Sobolev-Jawerth embedding of Triebel-Lizorkin-Morrey-Lorentz spaces and fractional integral operator on Hardy type spaces
• On Burenkov's extension operator preserving Sobolev-Morrey spaces on Lipschitz domains
• Global estimates and energy identities for elliptic systems with antisymmetric potentials
• Regularity of solutions for a fourth‐order elliptic system via Conservation law
• A Variational Problem Pertaining to Biharmonic Maps
• Weak solutions of a biharmonic map heat flow
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Stationary biharmonic maps fromRm into a Riemannian manifold
• Energy quantization for biharmonic maps
• On Stein's extension operator preserving Sobolev–Morrey spaces
• Partial regularity for harmonic maps and related problems
• Conservation Laws for Fourth Order Systems in Four Dimensions
• An 𝐿^{𝑝} regularity theory for harmonic maps
• Regularity of weak solutions to higher order elliptic systems in critical dimensions

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