Multiple solutions of stationary Boltzmann equation.
Keywords:
Fixed points, Multiple solutions, Stationary Boltzmann equationAbstract
We find two fixed points differents of cero of the operator in an Sobolev Spaces in L¹ (Ω) with Ω ⊆ Rn and they are solutions of Boltzmann equation.
References
Arkeryd, L. On the stationary Boltzman equation”, Seminary E.D.P. expose N 3, pp 11 (2001-2002).
Agarwal R., Meehan M., Or´egan D. Fixed point theory and applications, C. T. M., (2004).
Arkeryd, L. and Nouri, A. The stationary Boltzman equation in Rn with given data, Annals Scuola Normal Superior de Pisa. (2002).
Brezis Haim Functional Analysis, Sobolev spaces and partial dofferential equations, Sprinjer Verlag, (2011).
Galeano R, almanza M, A variational approach of stationary Boltzmann under a condition of poisson type, Revista Tecnica Facultad de Ingenieria, Zulia, (2013).
Galeano R., Almanza M., Ortega P. Stationary Boltzmann Equation with Boundary Data Depending on the Maxwellian, Matemática Enseñanza Universitaria, Vol 20, No. 2, (2012).
Galeano R., Cantillo J., Ortega P. Stationary Boltzmann Equation and the Nonlinear Alternative of Leray-Schauder, Cubo journal of mathematics, Vol 16, (2014).
Maslova N. Nonlinear Evolution Equation, Series on Advances in Mathematics for Applied Series, Vol 10, (1993).
Uray S., Yang T., Stationary Problems of Boltzmann Equation”, Hanbook of Differential Equations, Vol 5, Elsevier, 2008.
Wu Lei Hidrodinamic Limit with Geometric Correction of Stationary Boltzmann Equation, Arxiv: 14093945v5, October 2015.
Published
How to Cite
Issue
Section
-
Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.