On a new fractional Sobolev space and applications to nonlocal variational problems with variable exponent

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DOI10.3934/dcdss.2018021zbMath1374.35158OpenAlexW2766203956MaRDI QIDQ1677403

Vicenţiu D. Rădulescu, Anouar Bahrouni

Publication date: 21 November 2017

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2018021

zbMATH Keywords

density variational method integral functional fractional \(p(x)\)-Laplace operator Gagliardo seminorm

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Variational principles in infinite-dimensional spaces (58E30) Fourier integral operators applied to PDEs (35S30) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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