Abstract
The Sobolev inequality on R n , n ≥ 3 is very important because it gives a lower bound for the kinetic energy \( \int {{{\left| {\nabla f} \right|}^2}} \) in terms of an L p norm of f. It is the following.
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Lieb, E.H. (2001). Kinetic Energy Bounds and Their Application to the Stability of Matter. In: Thirring, W. (eds) The Stability of Matter: From Atoms to Stars. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04360-8_15
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DOI: https://doi.org/10.1007/978-3-662-04360-8_15
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