Regularity in parabolic Dini continuous systems

DOI10.1515/FORM.2011.049zbMath1248.35035OpenAlexW1987215726MaRDI QIDQ3106321

Paolo Baroni

Publication date: 20 December 2011

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/form.2011.049

zbMATH Keywords

partial regularityparabolic systemsweak solutionsDini continuityDini condition

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Weak solutions to PDEs (35D30) Second-order parabolic systems (35K40) Quasilinear parabolic equations (35K59)

Related Items (6)

Regularity of weak solutions to a class of nonlinear problem ⋮ Optimal partial regularity of second order nonlinear elliptic systems with Dini continuous coefficients for the superquadratic case ⋮ Regularity in parabolic systems with continuous coefficients ⋮ Partial regularity for subquadratic parabolic systems with continuous coefficients ⋮ New perturbation methods for nonlinear parabolic problems ⋮ Partial regularity for parabolic systems with VMO-coefficients

Cites Work

• Pointwise estimates for Laplace equation. Applications to the free boundary of the obstacle problem with Dini coefficients
• Partial regularity and singular sets of solutions of higher order parabolic systems
• Gradient estimates for a class of parabolic systems
• Harmonic type approximation lemmas
• On the partial regularity of weak solutions on nonlinear parabolic systems
• Almost-everywhere regularity results for solutions of nonlinear elliptic systems
• Nonlinear elliptic systems with Dini continuous coefficients
• Estimates in the generalized Campanato-John-Nirenberg spaces for fully nonlinear elliptic equations.
• Bounds for the singular set of solutions to non linear elliptic systems
• The singular set of solutions to non-differentiable elliptic systems
• Optimal interior partial regularity for nonlinear elliptic systems: The method of \(A\)-harmonic approximation
• Partial regularity results for minimizers of quasiconvex functionals of higher order
• Higher integrability for parabolic systems of \(p\)-Laplacian type
• The singular set of minima of integral functionals
• Second order parabolic systems, optimal regularity, and singular sets of solutions
• Elliptic Systems, Singular Sets and Dini Continuity
• Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals

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