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Dupaigne, L. (2011) Stable Solutions of Elliptic Partial Differential Equations. Springer.

has been cited by the following article:

• TITLE: Cosmological Macrostructures and Properties of Solutions of the Vlasov-Poisson System of Equations

  AUTHORS: Nikolay N. Fimin

  KEYWORDS: Vlasov-Poisson Equations, Dispersion Relation, Liouville-Gelfand Equation

  JOURNAL NAME: Journal of High Energy Physics, Gravitation and Cosmology, Vol.12 No.1, January 21, 2026

  ABSTRACT: In this paper, the formation criteria of nonstationary pseudoperiodic structures in a cosmological system of gravitating particles are demonstrated. These criteria are based on the properies of solutions of the system of Vlasov-Poisson equations. Furthermore, the properties of solutions of the linearized integral equation for the generalized gravitational potential, leading to the emergence of coherent structures of the quasi-equilibrium type in stationary systems of massive particles, are investigated.