On a nonlinear fourth order elliptic system with critical growth in first order derivatives

DOI10.1515/ACV.2008.008zbMath1157.35043OpenAlexW2079899383MaRDI QIDQ3516742

Paweł Strzelecki, Anna Zatorska-Goldstein

Publication date: 11 August 2008

Published in: Advances in the Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/acv.2008.008

zbMATH Keywords

regularityBMOelliptic systemsMorrey estimates

Mathematics Subject Classification ID

Related Items (4)

\(L^p\) regularity theory for even order elliptic systems with antisymmetric first order potentials ⋮ Regularity of solutions for a fourth‐order elliptic system via Conservation law ⋮ The Lamm-Rivière system. I: \(L^p\) regularity theory ⋮ A regularity result for polyharmonic maps with higher integrability

Cites Work

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• Positivity for equations involving polyharmonic operators with Dirichlet boundary conditions
• On biharmonic maps and their generalizations
• Application of the method of moving planes to conformally invariant equations
• Conservation laws for conformally invariant variational problems
• A discontinuous solution of a mildly nonlinear elliptic system
• GAGLIARDO–NIRENBERG INEQUALITIES WITH A BMO TERM
• A Sharp Nonlinear Gagliardo–Nirenberg-Type Estimate and Applications to the Regularity of Elliptic Systems

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