AbstractWe prove, for 1⩽p<∞ and Ω a polygonal or regular open subset of RN, the density in W1,p(Ω) of a set of regular functions satisfying a homogeneous Neumann condition on the boundary of Ω. We also give applications of this result and a generalization to mixed Dirichlet–Neumann boundary conditions
AbstractWe prove that if Ω⊆R2 is bounded and R2∖Ω satisfies suitable structural assumptions (for exa...
We investigate the density of compactly supported smooth functions in the Sobolev space $W^{k,p}$ on...
AbstractThere are two main results in the paper. In the first one, Theorem 1, we prove that if the S...
AbstractWe prove that if Ω⊆R2 is bounded and R2∖Ω satisfies suitable structural assumptions (for exa...
We show that in a bounded simply connected planar domain Ω the smooth Sobolev functions Wk,∞(Ω) ∩ C∞...
We prove that if $A$ is bounded open subset in the plane and its complement satisfies suitable struc...
For a Banach space X of R^M-valued functions on a Lipschitz domain, let K(X) ⊂ X be a closed convex...
AbstractWe prove, for 1⩽p<∞ and Ω a polygonal or regular open subset of RN, the density in W1,p(Ω) o...
International audienceGiven a complete noncompact Riemannian manifold $N^n$, we investigate whether ...
Given a complete noncompact Riemannian manifold, we investigate whether the set of bounded Sobolev m...
We show the density of smooth Sobolev functions Wk,∞(Ω)∩C∞(Ω) in the Orlicz-Sobolev spaces Lk,Ψ(Ω) f...
We investigate two density questions for Sobolev, Besov and Triebel–Lizorkin spaces on rough sets. O...
We investigate two density questions for Sobolev, Besov and Triebel–Lizorkin spaces on rough sets. O...
We investigate two density questions for Sobolev, Besov and Triebel--Lizorkin spaces on rough sets....
summary:We present a detailed proof of the density of the set $C^\infty (\overline{\Omega })\cap V$ ...
AbstractWe prove that if Ω⊆R2 is bounded and R2∖Ω satisfies suitable structural assumptions (for exa...
We investigate the density of compactly supported smooth functions in the Sobolev space $W^{k,p}$ on...
AbstractThere are two main results in the paper. In the first one, Theorem 1, we prove that if the S...
AbstractWe prove that if Ω⊆R2 is bounded and R2∖Ω satisfies suitable structural assumptions (for exa...
We show that in a bounded simply connected planar domain Ω the smooth Sobolev functions Wk,∞(Ω) ∩ C∞...
We prove that if $A$ is bounded open subset in the plane and its complement satisfies suitable struc...
For a Banach space X of R^M-valued functions on a Lipschitz domain, let K(X) ⊂ X be a closed convex...
AbstractWe prove, for 1⩽p<∞ and Ω a polygonal or regular open subset of RN, the density in W1,p(Ω) o...
International audienceGiven a complete noncompact Riemannian manifold $N^n$, we investigate whether ...
Given a complete noncompact Riemannian manifold, we investigate whether the set of bounded Sobolev m...
We show the density of smooth Sobolev functions Wk,∞(Ω)∩C∞(Ω) in the Orlicz-Sobolev spaces Lk,Ψ(Ω) f...
We investigate two density questions for Sobolev, Besov and Triebel–Lizorkin spaces on rough sets. O...
We investigate two density questions for Sobolev, Besov and Triebel–Lizorkin spaces on rough sets. O...
We investigate two density questions for Sobolev, Besov and Triebel--Lizorkin spaces on rough sets....
summary:We present a detailed proof of the density of the set $C^\infty (\overline{\Omega })\cap V$ ...
AbstractWe prove that if Ω⊆R2 is bounded and R2∖Ω satisfies suitable structural assumptions (for exa...
We investigate the density of compactly supported smooth functions in the Sobolev space $W^{k,p}$ on...
AbstractThere are two main results in the paper. In the first one, Theorem 1, we prove that if the S...