Reflections on Dubinskiĭ’s nonlinear compact embedding theorem
Copyright policy )Reflections on Dubinskiĭ’s nonlinear compact embedding theorem
We present an overview of a result by Yuli? Andreevich Dubinski? [Mat. Sb. 67 (109) (1965); translated in Amer. Math. Soc. Transl. (2) 67 (1968)], concerning the compact embedding of a seminormed set in Lp(0, T;A0), where A0 is a Banach space and p 2 [1,1]; we establish a variant of Dubinski??s theorem, where a seminormed nonnegative cone is used instead of a seminormed set; and we explore the connections of these results with a nonlinear compact embedding theorem due to Emmanuel Maitre [Int. J. Math. Math. Sci. 27 (2003)].
- Imperial College London United Kingdom
- University of Oxford United Kingdom
seminormed nonnegative cone, Mathematics - Functional Analysis, Hausdorff spaces, Mathematics - Analysis of PDEs, nonlinear compactness, locally convex spaces, FOS: Mathematics, Compactness in Banach (or normed) spaces, Analysis of PDEs (math.AP), Functional Analysis (math.FA)
seminormed nonnegative cone, Mathematics - Functional Analysis, Hausdorff spaces, Mathematics - Analysis of PDEs, nonlinear compactness, locally convex spaces, FOS: Mathematics, Compactness in Banach (or normed) spaces, Analysis of PDEs (math.AP), Functional Analysis (math.FA)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).18 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!