Add to ORKGAbstract. For each d ≥ 2 we construct a connected open set Ω ⊂ d such that Ω =int(clos(Ω)) and for each k ≥ 1 and each p ∈ [1,+∞), the subset W k,∞(Ω) fails to be dense in the Sobolev space W k,p(Ω), in the norm of W k,p(Ω). 1991 MSC Classification: 46J
We develop conditions on a Sobolev function ∈Wm,p(ℝd) such that if ̂ (0) = 1 and satisfies the Stra...
The present paper presents a counterexample to the sequential weak density of smooth maps between tw...
Abstract. Every homeomorphism h: X → Y between planar open sets that belongs to the Sobolev class W ...
For each d ≥ 2 we construct a connected open set Ω ⊂ d such that Ω =int(clos(Ω)) and for each k ≥ 1 ...
We consider the Sobolev embeddings E1 : W01,p(a,b)→Lp(a,b) and E2 : L1,p(a,b)/{1}→Lp(a,b)/{1}, ...
AbstractWe consider the Sobolev embeddingsE1:W01,p(a,b)→Lp(a,b)andE2:L1,p(a,b)/{1}→Lp(a,b)/{1},with ...
In this paper we consider the Sobolev-Slobodeckij spaces Wm,p(ℜn,E) where E is a strict (LF)-space, ...
AbstractLet (un) be a bounded sequence inHs,p(Rd) (0<s<d/p). We show that (un) has a subsequence (u′...
In this section we will, very briefly, recall concepts from the theory of dis-tributions that we wil...
summary:We give necessary and sufficient conditions for the equality $H=W$ in weighted Sobolev space...
AbstractLet Ω ⊂ RN be an open set with dist(x, ∂Ω) = O(¦ x ¦−l) for x ϵ Ω and some l > 0 satisfying ...
In this paper we prove a weak version of Lusin’s theorem for the space of Sobolev [...]info:eu-repo/...
The main results of this paper are new characterizations of W 1;p(Ω), 1 < p < 1, and BV (Ω) fo...
http://deepblue.lib.umich.edu/bitstream/2027.42/4073/5/bab7897.0001.001.pdfhttp://deepblue.lib.umich...
We show that in a bounded simply connected planar domain Ω the smooth Sobolev functions Wk,∞(Ω) ∩ C∞...
We develop conditions on a Sobolev function ∈Wm,p(ℝd) such that if ̂ (0) = 1 and satisfies the Stra...
The present paper presents a counterexample to the sequential weak density of smooth maps between tw...
Abstract. Every homeomorphism h: X → Y between planar open sets that belongs to the Sobolev class W ...
For each d ≥ 2 we construct a connected open set Ω ⊂ d such that Ω =int(clos(Ω)) and for each k ≥ 1 ...
We consider the Sobolev embeddings E1 : W01,p(a,b)→Lp(a,b) and E2 : L1,p(a,b)/{1}→Lp(a,b)/{1}, ...
AbstractWe consider the Sobolev embeddingsE1:W01,p(a,b)→Lp(a,b)andE2:L1,p(a,b)/{1}→Lp(a,b)/{1},with ...
In this paper we consider the Sobolev-Slobodeckij spaces Wm,p(ℜn,E) where E is a strict (LF)-space, ...
AbstractLet (un) be a bounded sequence inHs,p(Rd) (0<s<d/p). We show that (un) has a subsequence (u′...
In this section we will, very briefly, recall concepts from the theory of dis-tributions that we wil...
summary:We give necessary and sufficient conditions for the equality $H=W$ in weighted Sobolev space...
AbstractLet Ω ⊂ RN be an open set with dist(x, ∂Ω) = O(¦ x ¦−l) for x ϵ Ω and some l > 0 satisfying ...
In this paper we prove a weak version of Lusin’s theorem for the space of Sobolev [...]info:eu-repo/...
The main results of this paper are new characterizations of W 1;p(Ω), 1 < p < 1, and BV (Ω) fo...
http://deepblue.lib.umich.edu/bitstream/2027.42/4073/5/bab7897.0001.001.pdfhttp://deepblue.lib.umich...
We show that in a bounded simply connected planar domain Ω the smooth Sobolev functions Wk,∞(Ω) ∩ C∞...
We develop conditions on a Sobolev function ∈Wm,p(ℝd) such that if ̂ (0) = 1 and satisfies the Stra...
The present paper presents a counterexample to the sequential weak density of smooth maps between tw...
Abstract. Every homeomorphism h: X → Y between planar open sets that belongs to the Sobolev class W ...