A simple proof of the regularity theorem for the variational inequality of the obstacle problem

DOI10.1016/0362-546X(86)90119-7zbMath0612.49005OpenAlexW2045217297MaRDI QIDQ3752988

Björn Gustafsson

Publication date: 1986

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(86)90119-7

zbMATH Keywords

regularityvariational inequality

Mathematics Subject Classification ID

Variational inequalities (49J40) Variational methods for second-order elliptic equations (35J20)

Related Items (6)

Regularity of local minimizers of the interaction energy via obstacle problems ⋮ The Lewy-Stampacchia inequality for the fractional Laplacian and its application to anomalous unidirectional diffusion equations ⋮ The classical obstacle problem for nonlinear variational energies ⋮ Unidirectional evolution equations of diffusion type ⋮ Application of variational inequalities to the moving-boundary problem in a fluid model for biofilm growth ⋮ Verification of functional a posteriori error estimates for obstacle problem in 2D

Cites Work

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• Lectures on numerical methods for non-linear variational problems
• Problèmes unilateraux
• Applications of Variational Inequalities to a Moving Boundary Problem for Hele Shaw Flows
• Sur la régularité de la solution d'inéquations elliptiques
• On the regularity of the solution of a variational inequality
• Equivalent Norms for Sobolev Spaces

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