Limit of \(p\)-Laplacian obstacle problems

DOI10.1515/acv-2019-0058zbMath1486.35233arXiv1811.03863OpenAlexW3025234322MaRDI QIDQ2119568

Maria Agostina Vivaldi, Raffaela Capitanelli

Publication date: 29 March 2022

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.03863

zbMATH Keywords

asymptotic behaviorobstacle problems\(p\)-Laplacian

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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• On the regularity of the free boundary in the \(p\)-Laplacian obstacle problem
• Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient
• Optimal regularity at the free boundary for the infinity obstacle problem
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• Uniqueness and transport density in Monge's mass transportation problem
• A limiting free boundary problem with gradient constraint and tug-of-war games
• Optimal regularity for the obstacle problem for the \(p\)-Laplacian
• Absolutely minimizing Lipschitz extensions and infinity harmonic functions on the Sierpinski gasket
• Regularity results for \(p\)-Laplacians in pre-fractal domains
• Mass transport problems for the Euclidean distance obtained as limits of \(p\)-Laplacian type problems with obstacles
• Inhomogeneous infinity Laplace equation
• FEM for quasilinear obstacle problems in bad domains
• Differential equations methods for the Monge-Kantorovich mass transfer problem
• Discontinuous Gradient Constraints and the Infinity Laplacian
• A tour of the theory of absolutely minimizing functions
• Limits of Solutions ofp-Laplace Equations aspGoes to Infinity and Related Variational Problems
• Optimal Transport

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