Existence of minimizers of functionals involving the fractional gradient\n in the abscence of compactness, symmetry and monotonicity

2011/07/02 by Hichem Hajaiej, Hajaiej, Hichem
Computer Science · Mathematics · #Analysis of PDEs (math.AP) #Analytic and geometric function theory #FOS: Mathematics #Nonlinear Partial Differential Equations #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.1107.0396

openalex publication_date 2011/07/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish general assumptions under which a constrained vari- ational\nproblem involving the fractional gradient and a local nonlin- earity admits\nminimizers.\n

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