L∞ estimates and integrability by compensation in Besov–Morrey spaces and applications

DOI10.1515/acv.2011.015zbMath1258.35090arXiv1001.0378OpenAlexW1970416469MaRDI QIDQ2903476

Laura Gioia Andrea Keller

Publication date: 10 August 2012

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

Full work available at URL: https://arxiv.org/abs/1001.0378

zbMATH Keywords

\(L^\infty\) estimatesSchrödinger systemsintegrability by compensation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) A priori estimates in context of PDEs (35B45) Boundary value problems for second-order elliptic systems (35J57)

Related Items (2)

Generalized Morrey spaces and trace operator ⋮ Embedding properties of weighted Besov-type spaces

Cites Work

• Conformally invariant variational integrals and the removability of isolated singularities
• A remark on gauge transformations and the moving frame method
• Choquet integrals in potential theory
• Conservation laws for conformally invariant variational problems
• An existence theorem for surfaces of constant mean curvature
• The Characterisation of the Regularity of the Jacobian Determinant in the Framework of Potential Spaces
• Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data
• The Characterization of the Regularity of the Jacobian Determinant in the Framework of Bessel Potential Spaces on Domains
• Besov-Morrey spaces: Function space theory and applications to non-linear PDE
• Partial regularity for harmonic maps and related problems
• A Theory of Capacities for Potentials of Functions in Lebesgue Classes.
• Nonlinear potential analysis on Morrey spaces and their capacities

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