The obstacle problem for the infinity fractional Laplacian

DOI10.1007/S12215-016-0286-2zbMath1388.35067OpenAlexW2555486668MaRDI QIDQ1743836

Raúl Emilio Vidal, Lourdes Moreno-Mérida

Publication date: 16 April 2018

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11336/58448

zbMATH Keywords

obstacle problemviscosity solutionsinfinity fractional Laplace operator

Mathematics Subject Classification ID

Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Viscosity solutions to PDEs (35D40)

Related Items (1)

Existence of solutions for a nonlinear fractional \(p\)-Laplacian boundary value problem

Cites Work

• Limit problems for a fractional \(p\)-Laplacian as \(p\to\infty\)
• Hitchhiker's guide to the fractional Sobolev spaces
• On certain singular solutions of the partial differential equation \(u^ 2_ xu_{xx}+2u_ xu_ yu_{xy}+u^ 2_ yu_{yy}=0\)
• Optimal regularity at the free boundary for the infinity obstacle problem
• An obstacle problem for tug-of-war games
• Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
• Tug-of-war and the infinity Laplacian
• A Hölder infinity Laplacian
• Nonlocal Tug-of-War and the Infinity Fractional Laplacian
• A Nonlocal Free Boundary Problem
• User’s guide to viscosity solutions of second order partial differential equations
• Extension of range of functions
• A tour of the theory of absolutely minimizing functions
• On the Dirichlet problem for second-order elliptic integro-differential equations

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