Results overview: Found 2 records in 0.02 seconds.
Articles, 2 records found
Articles 2 records found  
1.
17 p, 209.1 KB Sobolev inequalities with variable exponent attaining the values 1 and n / Harjulehto, Petteri (University of Helsinki. Department of Mathematics and Statistics) ; Hästö, Peter (University of Oulu. Department of Mathematical Sciences)
We study Sobolev embeddings in the Sobolev space W1,p(·) (Ω) with variable exponent satisfying 1 6 p(x) 6 n. Since the exponent is allowed to reach the values 1 and n, we need to introduce new techniques, combining weak- and strong-type estimates, and a new variable exponent target space scale which features a space of exponential type integrability instead of L∞ at the upper end.
2008 - 10.5565/PUBLMAT_52208_05
Publicacions matemàtiques, V. 52 n. 2 (2008) p. 347-363  
2.
16 p, 142.6 KB Differentiation bases for Sobolev functions on metric spaces / Harjulehto, Petteri ; Kinnunen, Juha
We study Lebesgue points for Sobolev functions over other collections of sets than balls. Our main result gives several conditions for a differentiation basis, which characterize the existence of Lebesgue points outside a set of capacity zero.
2004 - 10.5565/PUBLMAT_48204_05
Publicacions matemàtiques, V. 48 N. 2 (2004) , p. 381-395  

See also: similar author names
Interested in being notified about new results for this query?
Set up a personal email alert or subscribe to the RSS feed.