Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Stańczy, Robert"'
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:
Staśkiewicz, Beata, Stańczy, Robert
A novel mathematical rigorous method to obtain the vapor-liquid equilibrium curves near the critical point has been proposed covering the cases of well-known and commonly used equations of state for real gases - Van der Waals and Dieterici, which are
Externí odkaz:
http://arxiv.org/abs/1510.09211
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:
Kulczycki, Tadeusz, Stanczy, Robert
The existence of at least two solutions to superlinear integral equation in cone is proved using the Krasnosielskii Fixed Point Theorem. The result is applied to the Dirichlet BVPs with the fractional Laplacian.
Externí odkaz:
http://arxiv.org/abs/1311.0645
Autor:
Dolbeault, Jean, Stanczy, Robert
This paper is devoted to multiplicity results of solutions to nonlocal elliptic equations modeling gravitating systems. By considering the case of Fermi-Dirac statistics as a singular perturbation of Maxwell-Boltzmann one, we are able to produce mult
Externí odkaz:
http://arxiv.org/abs/1309.1930
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
Autor:
Stańczy, Robert
Publikováno v:
Journal of Mathematical Analysis and Applications Volume 405, Issue 2, 15 September 2013, Pages 416-421
The existence of multiple fixed points for the coercive, bilinear, compact forms defined in the cone in the Banach space. Multiple applications to the integral equations derived from BVPs for differential equations are provided.
Externí odkaz:
http://arxiv.org/abs/1104.4848
Autor:
Stańczy, Robert
In this paper we obtain the existence of a radial solution for some elliptic nonlocal problem with constraints. The problem arises from some reaction-diffusion equation modelling among others system of self-gravitating particles when one looks for it
Externí odkaz:
http://arxiv.org/abs/1101.1533