Aronsson, Gunnar; Talenti, Giorgio Estimating the integral of a function in terms of a distribution function of its gradient. (English) Zbl 0476.49030 Boll. Unione Mat. Ital., V. Ser., B 18, 885-894 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 6 Documents MSC: 49Q20 Variational problems in a geometric measure-theoretic setting 26D10 Inequalities involving derivatives and differential and integral operators 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems 46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 49J10 Existence theories for free problems in two or more independent variables Keywords:gradient operator; dome function; integral inequalities for functions in Sobolev spaces Citations:Zbl 0415.49005 PDFBibTeX XMLCite \textit{G. Aronsson} and \textit{G. Talenti}, Boll. Unione Mat. Ital., V. Ser., B 18, 885--894 (1981; Zbl 0476.49030)