Regularity for solutions to anisotropic obstacle problems

DOI10.1007/s11425-013-4601-5zbMath1304.35298OpenAlexW2063158480MaRDI QIDQ476636

Hongya Gao

Publication date: 2 December 2014

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-013-4601-5

zbMATH Keywords

local boundednessintegral functionallocal regularityanisotropic obstacle problemA-harmonic equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20)

Related Items (7)

Global integrability related to anisotropic operators ⋮ Pointwise bounds for minimizers of some anisotropic functionals ⋮ Regularity for minimizers of integrals with nonstandard growth ⋮ Integrability for solutions to some anisotropic obstacle problems ⋮ Global integrability for solutions to some anisotropic problem with nonstandard growth ⋮ Integrability for very weak solutions to boundary value problems of p-harmonic equation ⋮ Regularity for anisotropic solutions to some nonlinear elliptic system

Cites Work

• Integrability for solutions to some anisotropic elliptic equations
• Local regularity for solutions of anisotropic obstacle problems
• Local regularity result in obstacle problems
• Local boundedness of minimizers in a limit case
• Multiple integrals in the calculus of variations
• Local regularity and local boundedness results for very weak solutions of obstacle problems
• An \(L^ s\)-estimate for the gradient of solutions of some nonlinear unilateral problems
• On the regularity of the minima of variational integrals
• Some results on regularity for solutions of non-linear elliptic systems and quasi-regular functions
• Local regularity result for solutions of obstacle problems
• Regularity results for nonlinear elliptic systems and applications
• Sharp regularity for functionals with (\(p\),\(q\)) growth
• Local regularity results for minima of functionals of the calculus of variation
• Anisotropic elliptic system with measure data
• Linear and quasilinear elliptic equations
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Elliptic Partial Differential Equations of Second Order
• Weak minima of variational integrals.
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