Discontinuous Gradient Constraints and the Infinity Laplacian

DOI10.1093/imrn/rnv214zbMath1404.35175arXiv1201.5199OpenAlexW1560253965WikidataQ109406478 ScholiaQ109406478MaRDI QIDQ4560421

Mikko Parviainen, Petri Juutinen, Julio D. Rossi

Publication date: 12 December 2018

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.5199

Mathematics Subject Classification ID

Differential games and control (49N70) 2-person games (91A05) Differential games (aspects of game theory) (91A23) Nonlinear elliptic equations (35J60) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91)

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Limit of \(p\)-Laplacian obstacle problems ⋮ Limit problems for a fractional \(p\)-Laplacian as \(p\to\infty\) ⋮ Qualitative properties of generalized principal eigenvalues for superquadratic viscous Hamilton-Jacobi equations ⋮ Liouville Theorems for infinity Laplacian with gradient and KPP type equation ⋮ The convergence rate of p -harmonic to infinity-harmonic functions ⋮ A limit case in non-isotropic two-phase minimization problems driven by \(p\)-Laplacians ⋮ Variational and Quasi-Variational Inequalities with Gradient Type Constraints ⋮ The evolution problem associated with eigenvalues of the Hessian ⋮ A limiting obstacle type problem for the inhomogeneous \(p\)-fractional Laplacian ⋮ A limiting free boundary problem with gradient constraint and tug-of-war games ⋮ Regularity properties for p−dead core problems and their asymptotic limit as p→∞

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