Differential and Integral Equations

Symmetry breaking for an elliptic equation involving the Fractional Laplacian

Pablo L. Nápoli

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Abstract

We study the symmetry breaking phenomenon for an elliptic equation involving the fractional Laplacian in a large ball. Our main tool is an extension of the Strauss radial lemma involving the fractional Laplacian, which might be of independent interest; and from which we derive compact embedding theorems for a Sobolev-type space of radial functions with power weights.

Article information

Source
Differential Integral Equations, Volume 31, Number 1/2 (2018), 75-94.

Dates
First available in Project Euclid: 26 October 2017

Permanent link to this document
https://projecteuclid.org/euclid.die/1509041402

Mathematical Reviews number (MathSciNet)
MR3717735

Zentralblatt MATH identifier
06837087

Subjects
Primary: 35J60: Nonlinear elliptic equations 42B37: Harmonic analysis and PDE [See also 35-XX]

Citation

Nápoli, Pablo L. Symmetry breaking for an elliptic equation involving the Fractional Laplacian. Differential Integral Equations 31 (2018), no. 1/2, 75--94. https://projecteuclid.org/euclid.die/1509041402


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