Abstract
Moser-type estimates for functions whose gradient is in the Lorentz space L(n, q), 1≤q≤∞, are given. Similar results are obtained for solutions u∈H sup1inf0 of Au=(f i ) x i , where A is a linear elliptic second order differential operator and |f|∈L(n, q), 2≤q≤∞.
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Work partially supported by MURST (40%).
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Alvino, A., Ferone, V. & Trombetti, G. Moser-type inequalities in Lorentz spaces. Potential Anal 5, 273–299 (1996). https://doi.org/10.1007/BF00282364
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DOI: https://doi.org/10.1007/BF00282364