A. Ponce

activity

20062025

most citedDiffuse measures and nonlinear parabolic equations

70 citations · 257 across the 32 of their papers we have counts for

collaborators

Showing 2012 · math.FAShow all

2 papers · 2 filters

math.FA2012★ 17 cited

Density of smooth maps for fractional Sobolev spaces $W^{s, p}$ into $ℓ$ simply connected manifolds when $s \geq 1$

Pierre Bousquet, Augusto C. Ponce, Jean Van Schaftingen

Given a compact manifold $N^{n} \subset R^{ν}$ , $s \geq 1$ and $1 \leq p < \infty$ , we prove that the class of smooth maps on the cube with values into $N^{n}$ is strongly dense i…

math.FA2012★ 13 cited

Strong density for higher order Sobolev spaces into compact manifolds

Pierre Bousquet, Augusto Ponce, Jean Van Schaftingen

Given a compact manifold $N^{n}$ , an integer $k \in N_{*}$ and an exponent $1 \leq p < \infty$ , we prove that the class $C^{\infty} (Q^{m}; N^{n})$ of smooth maps on the cu…

Density of smooth maps for fractional Sobolev spaces Ws,p into ℓ simply connected manifolds when s≥1

Strong density for higher order Sobolev spaces into compact manifolds

Density of smooth maps for fractional Sobolev spaces $W^{s, p}$ into $ℓ$ simply connected manifolds when $s \geq 1$