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January/February 2017 Ground states for a fractional scalar field problem with critical growth
Vincenzo Ambrosio
Differential Integral Equations 30(1/2): 115-132 (January/February 2017).

Abstract

We prove the existence of a ground state solution for the following fractional scalar field equation \begin{align*} (-\Delta)^{s} u= g(u) \mbox{ in } \mathbb R^{N} \end{align*} where $s\in (0,1)$, $N> 2s$, $(-\Delta)^{s}$ is the fractional Laplacian, and $g\in C^{1, \beta}( \mathbb R, \mathbb R)$ is an odd function satisfying the critical growth assumption.

Citation

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Vincenzo Ambrosio. "Ground states for a fractional scalar field problem with critical growth." Differential Integral Equations 30 (1/2) 115 - 132, January/February 2017.

Information

Published: January/February 2017
First available in Project Euclid: 20 January 2017

zbMATH: 06738544
MathSciNet: MR3599798

Subjects:
Primary: 35A15, 35B33, 35J60, 35R11, 49J35

Rights: Copyright © 2017 Khayyam Publishing, Inc.

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Vol.30 • No. 1/2 • January/February 2017
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