Differential and Integral Equations

Coron problem for fractional equations

Simone Secchi, Naoki Shioji, and Marco Squassina

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We prove that the critical problem for the fractional Laplacian in an annular type domain, admits a positive solution provided that the inner hole is sufficiently small.

Article information

Differential Integral Equations, Volume 28, Number 1/2 (2015), 103-118.

First available in Project Euclid: 11 December 2014

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 34K37: Functional-differential equations with fractional derivatives 58K05: Critical points of functions and mappings


Secchi, Simone; Shioji, Naoki; Squassina, Marco. Coron problem for fractional equations. Differential Integral Equations 28 (2015), no. 1/2, 103--118. https://projecteuclid.org/euclid.die/1418310423

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