On a class of N-dimensional anisotropic Sobolev inequalities
Copyright policy ) Huang, Lirong; Rocha, Eugénio;
On a class of N-dimensional anisotropic Sobolev inequalities
In this paper, we study the smallest constant α in the anisotropic Sobolev inequality of the form ∥u∥pp≤α∥u∥22(2N-1)+(3-2N)p2∥ux∥2N(p-2)2∏k=1N-1∥Dx-1∂yku∥2p-22 and the smallest constant β in the inequality ∥u∥p∗p∗≤β∥ux∥22N2N-3∏k=1N-1∥Dx-1∂yku∥222N-3, where V:=(x,y1,…,yN-1)∈RN with N≥3 and 2
Portugal
- University of Aveiro (UAVR) Portugal
- UNIVERSIDADE DE AVEIRO Portugal
- Fujian Jiangxia University China (People's Republic of)
- University of Aveiro Portugal
- University of Aveiro Portugal
anisotropic Sobolev inequality, Smallest constant, Research, QA1-939, Minimal action solution, smallest constant, Variational inequalities, minimal action solution, Anisotropic Sobolev inequality, Mathematics
anisotropic Sobolev inequality, Smallest constant, Research, QA1-939, Minimal action solution, smallest constant, Variational inequalities, minimal action solution, Anisotropic Sobolev inequality, Mathematics
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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).
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