Gradient higher integrability for singular parabolic double-phase systems

DOI10.1007/S00030-024-00928-5MaRDI QIDQ6496954

Lauri Särkiö, Won Tae Kim

Publication date: 6 May 2024

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) Weak solutions to PDEs (35D30) Quasilinear parabolic equations with (p)-Laplacian (35K92) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

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• Existence of weak solutions of parabolic systems with \(p,q\)-growth
• Higher integrability for parabolic systems with non-standard growth and degenerate diffusions
• Degenerate parabolic equations
• Calderón-Zygmund estimates and non-uniformly elliptic operators
• Scalar minimizers with fractal singular sets
• Higher integrability for parabolic systems of \(p\)-Laplacian type
• Higher integrability for parabolic systems with Orlicz growth
• Regularity for double phase variational problems
• Harnack inequalities for double phase functionals
• Regularity and existence of solutions of elliptic equations with p,q- growth conditions
• A borderline case of Calderón–Zygmund estimates for nonuniformly elliptic problems
• Regularity for double phase problems at nearly linear growth
• Gradient higher integrability for degenerate parabolic double-phase systems

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