Non degeneracy of the bubble in the critical case for non local equations

2013/02/01 by Juan Dávila, Juan Davila, Davila, Juan +4
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #math.AP

paper · pdf · doi:10.48550/arxiv.1302.0276

arxiv created 2013/02/01 · openalex publication_date 2013/02/01 · arxiv updated 2013/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the nondegeneracy of the extremals of the fractional Sobolev inequality as solutions of a critical semilinear nonlocal equation involving the fractional Laplacian.

Citations

• Uniqueness theorems through the method of moving spheres
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth

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