Agnieszka Kałamajska

activity

20092026

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

5 citations · 16 across the 14 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…

math.AP2018

On one variant of strongly nonlinear Gagliardo-Nirenberg inequality involving Laplace operator with application to nonlinear elliptic problems

Agnieszka Kałamajska, Tomasz Choczewski

We obtain the inequality $\int_{Ω} ∣\nabla u (x) ∣^{p} h (u (x)) d x \leq C (n, p) \int_{Ω} (∣Δ u (x) ∣∣ T_{h, C} (u (x)) ∣)^{p} h (u (x)) d x,$ where $Ω \subset R^{n}$ is a bo…

math.AP2017

Weak lower semicontinuity by means of anisotropic parametrized measures

Agnieszka Kałamajska, Stefan Krömer, Martin Kružík

It is well known that besides oscillations, sequences bounded only in $L^{1}$ can also develop concentrations, and if the latter occurs, we can at most hope for weak $^{*}$ convergence…

math.AP2016

On certain variant of strongly nonlinear interpolation inequality in dimension n

Tomasz Choczewski, Agnieszka Kałamajska

We obtain the inequality $\int_{Ω} ∣\nabla u (x) ∣^{p} h (u (x)) d x \leq C (n, p) \int_{Ω} (∣ \nabla^{(2)} u (x) ∣∣ T_{h, C} (u (x)) ∣)^{p} h (u (x)) d x,$ where $Ω\subseteq {\bf R}…

math.AP2016★ 4 cited

Caccioppoli--type estimates and Hardy--type inequalities derived from degenerated $p$ --harmonic problems

Pavel Drábek, Agnieszka Kałamajska, Iwona Skrzypczak

We obtain Caccioppoli--type estimates for nontrivial and nonnegative solutions to the anticoercive partial differential inequalities of elliptic type involving degenerated $p$ --Lap…

math.AP2012★ 1 cited

Sequential weak continuity of null Lagrangians at the boundary

Agnieszka Kalamajska, Stefan Kroemer, Martin Kruzik

We show weak* in measures on $Ø ˉ$ / weak- $L^{1}$ sequential continuity of $u \mapsto f (x, \nabla u) : W^{1, p} (Ø; R^{m}) \to L^{1} (Ø)$ , where $f (x, \cdot)$ is a null Lagrangian for $x \in Ø$ , i…

math.AP2011

On some nonlinear extensions of the Gagliardo-Nirenberg inequality with applications to nonlinear eigenvalue problems

Agnieszka Kałamajska, Jan Peszek

We derive inequality [\int_{\r} |f^{'}(x)|^ph(f(x))dx \le (\sqrt{p-1})^p\int_{\r}(\sqrt{|f^{"}(x){\cal T}_h(f(x))|})^ph(f(x))dx,] where $f$ belongs locally to Sobolev space $W^{2,1…

math.FA2009★ 5 cited

On a variant of Gagliardo-Nirenberg inequality deduced from Hardy

Agnieszka Kalamajska, Katarzyna Pietruska-Paluba

We obtain new variants of weighted Gagliardo-Nirenberg interpolation inequalities in Orlicz spaces, as a consequence of weighted Hardy-type inequalities. The weights we consider ne…

math.AP2009★ 5 cited

On a variant of Hardy inequality between weighted Orlicz spaces