Iwona Chlebicka

activity

20162026

most citedA pocket guide to nonlinear differential equations in the Musielak--Orlicz spaces

117 citations · 335 across the 29 of their papers we have counts for

collaborators

Showing 2024 · math.APShow all

3 papers · 2 filters

math.AP2024★ 1 cited

Discarding Lavrentiev's Gap in Non-autonomous and Non-Convex Variational Problems

Michał Borowski, Pierre Bousquet, Iwona Chlebicka +2

We establish that the Lavrentiev gap between Sobolev and Lipschitz maps does not occur for a scalar variational problem of the form: \[ \textrm{to minimize} \qquad u \mapsto \int_Ω…

math.AP2024

Refined asymptotics for the Cauchy problem for the fast $p$ -Laplace evolution equation

Matteo Bonforte, Iwona Chlebicka, Nikita Simonov

Our focus is on the fast diffusion equation driven by the $p$ -Laplacian operator, that is $\partial_{t} u = Δ_{p} u$ with $1 < p < 2$ , posed in the whole space $R^{N}$ , $N \geq 2$ . The…

math.AP2024

Riesz potential estimates for mixed local-nonlocal problems with measure data

Iwona Chlebicka, Kyeong Song, Yeonghun Youn +1

We study gradient regularity for mixed local-nonlocal problems modelled upon \[ -Δ_p u +(-Δ_p)^su=μ\qquad\text{for} \quad 2-\tfrac{1}{n}<p<\infty\quad \text{and}\quad s\in(0,1)\,,\…

Discarding Lavrentiev's Gap in Non-autonomous and Non-Convex Variational Problems

Refined asymptotics for the Cauchy problem for the fast p-Laplace evolution equation

Riesz potential estimates for mixed local-nonlocal problems with measure data

Refined asymptotics for the Cauchy problem for the fast $p$ -Laplace evolution equation