Higher regularity of the solution to the \(p\)-Laplacian obstacle problem

DOI10.1016/0022-0396(92)90036-MzbMath0765.49008OpenAlexW1985915959MaRDI QIDQ1183253

Jun Mu

Publication date: 28 June 1992

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(92)90036-m

zbMATH Keywords

maximum principleregularityobstacle problemEuler-Lagrange equation

Mathematics Subject Classification ID

Related Items (11)

Starshapedness in the obstacle problem ⋮ Porosity of free boundaries in the obstacle problem for quasilinear elliptic equations ⋮ On the dynamics of grounded shallow ice sheets: modeling and analysis ⋮ A remark on Hausdorff measure in obstacle problems ⋮ Regularity for certain degenerate elliptic double obstacle problems ⋮ \(A_{p}\)-weight and integrability of solutions in obstacle problems ⋮ Boundary regularity of weak solutions to nonlinear elliptic obstacle problems ⋮ Nonlinear gradient estimates for parabolic obstacle problems in non-smooth domains ⋮ Stability remarks to the obstacle problem for \(p\)-Laplacian type equations ⋮ Unnamed Item ⋮ Higher differentiability for solutions of nonhomogeneous elliptic obstacle problems

Cites Work

• Regularity for a more general class of quasilinear equations
• Regularity for a class of nonlinear elliptic systems
• A new proof of local \(C^{1,\alpha}\) regularity for solutions of certain degenerate elliptic P.D.E
• Equazioni ellittiche del II\(^ \circ\) ordine e spazi \({\mathcal L}^{(2,\lambda)}\)
• Linear and quasilinear elliptic equations
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Interior regularity for solutions to obstacle problems
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