Agnieszka Kałamajska

activity

20092026

most citedOn a variant of Gagliardo-Nirenberg inequality deduced from Hardy

5 citations · 12 across the 10 of their papers we have counts for

collaborators

14 papers

math.AP2026

Singular semilinear elliptic equations in nondivergence form

Agnieszka Kałamajska, Dalimil Peša, Artur Rutkowski

We study the singular semilinear equation $- P u = \frac{f}{u ^{γ}}$ on a bounded domain $Ω$ with Dirichlet condition $u \equiv 0$ on $\partial Ω$ , where $P$ is a second-order elliptic…

math.AP2023★ 1 cited

Non-linear Gagliardo--Nirenberg inequality involving a second-order elliptic operator in non-divergent form

Agnieszka Kałamajska, Dalimil Peša, Tomáš Roskovec

We obtain the inequalities of the form $\int_{Ω} ∣\nabla u (x) ∣^{2} h (u (x)) d x \leq C \int_{Ω} (∣ P u (x) ∣∣ T_{H} (u (x)) ∣)^{2} h (u (x)) d x + Θ,$ where $Ω…

math.FA2022

Asymptotics, trace, and density results for weighted Dirichlet spaces defined on the halfline

Claudia Capone, Agnieszka Kałamajska

We give analytic description for the completion of $C_{0}^{\infty} (R_{+})$ in Dirichlet space $D^{1,p}(\mathbf{R}_+, ω):= \{ u:\mathbf{R}_+\rightarrow \mathbf{R}: u\ \hbox{ is…

math.CA2022

Density results and trace operator in weighted Sobolev Spaces defined on the half line equipped with power weights

Radosław Kaczmarek, Agnieszka Kałamajska

We study properties of $W_{0}^{1, p} (R_{+}, t^{β})$ - the completion of $C_{0}^{\infty} (R_{+})$ in the power-weighted Sobolev spaces $W^{1, p} (R_{+}, t^{β})$ , where $β\in\ma…

math.FA2020

Poincaré inequalities and compact embeddings from Sobolev type spaces into weighted $L^{q}$ spaces on metric spaces

Jana Björn, Agnieszka Kałamajska

We study compactness and boundedness of embeddings from Sobolev type spaces on metric spaces into $L^{q}$ spaces with respect to another measure. The considered Sobolev spaces can be…

math.AP2019

On maximum principles for radial solutions to nonlinear elliptic PDE's via Opial-type inequalities

Agnieszka Kałamajska, Anna Kosiorek

We consider degenerated nonlinear PDE of elliptic type: $- div (a (∣ x ∣) ∣\nabla w (x) ∣^{p - 2} \nabla w (x)) + h (∣ x ∣, w (x), ⟨ \nabla w (x), \frac{x}{∣ x ∣} ⟩) = ϕ (w (x)),$ w…