Sharp embedding of Sobolev spaces involving general kernels and its application

DOI10.1007/s00023-014-0348-yzbMath1339.46029arXiv1311.7165OpenAlexW2012700166MaRDI QIDQ2350918

Huyuan Chen, Hichem Hajaiej

Publication date: 25 June 2015

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.7165

zbMATH Keywords

Sobolev spaceembeddingintegro-differential operatorsharp critical exponent

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integro-partial differential equations (35R09)

Related Items (3)

Interaction functional with nonlinear diffusion and exogenous potential ⋮ Nonlocal operators of order near zero ⋮ The sharp exponent in the study of the nonlocal Hénon equation in \(\mathbb{R}^N\): a Liouville theorem and an existence result

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