Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Bors, Dorota"'
Autor:
Bors, Dorota, Stańczy, Robert
The existence of solutions to Tolman-Openheimer-Volkoff equation with linear equation of state modeling relativistic cloud of interacting particles is proved for mass parameter below certain threshold. For the intermediate values of mass parameters m
Externí odkaz:
http://arxiv.org/abs/2408.09751
Autor:
Bors, Dorota, Stańczy, Robert
Publikováno v:
In Journal of Differential Equations 5 January 2023 342:21-33
Autor:
Bors, Dorota, Stańczy, Robert
The existence of multiple radial solutions to the elliptic equation modeling fermionic cloud of interacting particles is proved for the limiting Planck constant and intermediate values of mass parameters. It is achieved by considering the related non
Externí odkaz:
http://arxiv.org/abs/1612.05442
Autor:
Bors, Dorota, Stańczy, Robert
We formulate some global invertibility and implicit function theorems. We extend the result of Idczak, Skowron and Walczak on the invertibility of the operators to the case of the operators with critical points. The proof relies on the Mountain Pass
Externí odkaz:
http://arxiv.org/abs/1510.07871
Autor:
Bors, Dorota
We consider an optimal control problem governed by a class of boundary value problem with the spectral Dirichlet fractional Laplacian. Some sufficient condition for the existence of optimal processes is stated. The proof of the main result relies on
Externí odkaz:
http://arxiv.org/abs/1509.01283
Autor:
Bors, Dorota
In the paper we consider a boundary value problem involving a differential equation with the fractional Laplacian $(-\Delta)^{\alpha/2}$ for $\alpha \in\left( 1,2\right) $ and some superlinear and subcritical nonlinearity $G_{z}$ provided with a nonh
Externí odkaz:
http://arxiv.org/abs/1408.0618
Publikováno v:
Discrete Contin. Dyn. Syst. Ser. B 19 (2014), 2401-2416
In the paper some sufficient condition for the nonlinear integral operator of the Volterra type to be a diffeomorphism defined on the space of absolutely continuous functions are formulated. The proof relies on consideration of the linearized equatio
Externí odkaz:
http://arxiv.org/abs/1311.5113
Autor:
Bors, Dorota, Stańczy, Robert
In this paper, we consider a nonlinear second order equation modelling rocket motion in the gravitational field obstructed by the drag force. The proofs of the main results are based on topological fixed point approach.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/1212.5826
Akademický článek
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Autor:
BORS, DOROTA
Publikováno v:
The Journal of Integral Equations and Applications, 2015 Oct 01. 27(3), 343-366.
Externí odkaz:
https://www.jstor.org/stable/26165150