A tool for symmetry breaking and multiplicity in some nonlocal problems

DOI10.1002/MMA.6220zbMath1453.35182arXiv1907.09182OpenAlexW2963153310MaRDI QIDQ5136901

Roberta Musina, Alexander I. Nazarov

Publication date: 30 November 2020

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.09182

zbMATH Keywords

fractional LaplacianGagliardo-Nirenberg seminormsLaplace-Beltrami operator on the sphere, fractional Caffarelli-Kohn-Nirenberg inequality

Mathematics Subject Classification ID

Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (5)

Complete classification and nondegeneracy of minimizers for the fractional Hardy-Sobolev inequality, and applications ⋮ The \(s\)-polyharmonic extension problem and higher-order fractional Laplacians ⋮ Dirichlet fractional Laplacian in multi-tubes ⋮ Bifurcation analysis of the Hardy-Sobolev equation ⋮ Symmetry and symmetry breaking for the fractional Caffarelli-Kohn-Nirenberg inequality

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