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Moser-type inequalities in Lorentz spaces (1996)

Alvino, Angelo ; Ferone, Vincenzo ; Trombetti, Guido

Springer

Potential analysis 5 (1996), S. 273-299

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ISSN: 1572-929X

Keywords: 46E35 ; 35B45 ; 35J25 ; Sobolev embeddings ; Lorentz spaces ; rearrangements ; elliptic equations

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: 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 inf0 sup1 of Au=(f i ) x i , where A is a linear elliptic second order differential operator and |f|∈L(n, q), 2≤q≤∞.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00282364

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