Traces for fractional Sobolev spaces with variable exponents

In this note we prove a trace theorem in fractional spaces with variable exponents. To be more precise, we show that if p:Ω×Ω→ (1,∞) and q:∂Ω→(1,1) are continuous functions such that (n - 1)p(x, x)/n - sp(x, x) > q(x) in∂Ω∩x ∈ Ω: n-sp(x, x) > 0), then the inequality fLq(·(∂Ω≤C(fLp(·(Ω)...

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Publicado: 2017
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_2538225X_v2_n4_p435_DelPezzo
http://hdl.handle.net/20.500.12110/paper_2538225X_v2_n4_p435_DelPezzo
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