Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail
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Brezis, Haim
Van Schaftingen, Jean
Yung, Po-Lam
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Springer
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In the cases where there is no Sobolev-type or Gagliardo–Nirenberg-type fractional estimate involving |u|Wsp, we establish alternative estimates where the strong Lp norms are replaced by Lorentz norms.
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Brezis, H., Van Schaftingen, J. & Yung, PL. Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail. Calc. Var. 60, 129 (2021). https://doi.org/10.1007/s00526-021-02001-w
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Calculus of Variations and Partial Differential Equations
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Open Access
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