Regularity for asymptotically regular elliptic double obstacle problems of multi-phase

DOI10.1007/s00025-023-02008-zzbMath1525.35119MaRDI QIDQ6078322

Jiangshan Feng, Shuang Liang

Publication date: 24 October 2023

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Calderón-Zygmund estimatemulti-phase problemasymptotically regular double obstacles

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60)

Cites Work

• Unnamed Item
• Bounded minimisers of double phase variational integrals
• Global gradient estimates for non-uniformly elliptic equations
• Orlicz spaces and modular spaces
• Calderón-Zygmund estimates for generalized double phase problems
• Asymptotically regular problems I: Higher integrability
• Regularity for minimizers of integrals with nonstandard growth
• Calderón-Zygmund estimates and non-uniformly elliptic operators
• Remarks on the regularity of the minimizers of certain degenerate functionals
• Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
• Regularity for general functionals with double phase
• Gradient estimates for multi-phase problems
• Double phase problems with competing potentials: concentration and multiplication of ground states
• Optimal gradient estimates for multi-phase integrals
• Irregular obstacle problems for Orlicz double phase
• Regularity for double phase variational problems
• Maximal functions on Musielak--Orlicz spaces and generalized Lebesgue spaces
• Global Calderón–Zygmund Theory for Asymptotically Regular Nonlinear Elliptic and Parabolic Equations
• Fractional estimates for non-differentiable elliptic systems with general growth
• Asymptotically regular problems II: Partial Lipschitz continuity and a singular set of positive measure
• Linearisation at infinity and Lipschitz estimates for certain problems in the calculus of variations
• Gradient estimates for multi-phase problems in Campanato spaces
• Lipschitz regularity of solutions of some asymptotically convex problems
• Nonlinear gradient estimates for double phase elliptic problems with irregular double obstacles
• Weighted Norm Inequalities for the Hardy Maximal Function
• Double phase problems: a survey of some recent results
• Regularity of solutions to degenerate fully nonlinear elliptic equations with variable exponent

This page was built for publication: Regularity for asymptotically regular elliptic double obstacle problems of multi-phase