Recent progresses in the theory of nonlinear nonlocal problems

Abstract

We overview some recent existence and regularity results in the theory of nonlocal nonlinear problems driven by the fractional $p$-Laplacian.

arXiv comment13 pages

References in corpus (4)

• Regularity theory for fully nonlinear integro-differential equations
• Local behavior of fractional $p$-minimizers
• Fractional Laplacians on domains, a development of Hörmander's theory of mu-transmission pseudodifferential operators
• Fractional p-eigenvalues

Cited by in corpus (1)

• A System of Local/Nonlocal $p$-Laplacians: The Eigenvalue Problem and Its Asymptotic Limit as $p\to \infty$