Three weak solutions for nonlocal fractional Laplacian equations

DOI10.1155/2014/809769zbMath1474.35676OpenAlexW2039237851WikidataQ59041703 ScholiaQ59041703MaRDI QIDQ1725039

Dandan Yang, Chuanzhi Bai

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/809769

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Lewy-Stampacchia type estimates for variational inequalities driven by (non)local operators
• Radial fractional Laplace operators and Hessian inequalities
• Hitchhiker's guide to the fractional Sobolev spaces
• Three weak solutions for elliptic Dirichlet problems
• Mountain pass solutions for non-local elliptic operators
• Positive solutions of nonlinear problems involving the square root of the Laplacian
• Three solutions to a Neumann problem for elliptic equations involving the \(p\)-Laplacian
• Nonexistence results for a class of fractional elliptic boundary value problems
• Existence results for non-local operators of elliptic type
• Variational methods for non-local operators of elliptic type
• Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
• Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
• Existence and symmetry results for a Schr\"odinger type problem involving the fractional Laplacian
• Regularity of the obstacle problem for a fractional power of the laplace operator
• On the structure of the critical set of non-differentiable functions with a weak compactness condition

This page was built for publication: Three weak solutions for nonlocal fractional Laplacian equations