Abstract

SINITSYN, ALEXANDRE V.  and  DULOV, EUGENE V.. Boundary value problems for the Vlasov-Maxwell system. Rev.colomb.mat. [online]. 2007, vol.41, suppl.1, pp.151-187. ISSN 0034-7426.

The paper studies the special classes of the stationary and nonstationary solutions of VM system and their connection with the systems of nonlocal semilinear elliptic equations with boundary conditions. Using the proposed lower-upper solution method, we proved an existence theorem for a semilinear nonlocal elliptic boundary value problem under corresponding restrictions over the distribution function (ansatz RSS [52, 53])

Keywords : Vlasov-Maxwell system; boundary value problem; upper-lower solution.

        · abstract in Spanish     · text in English     · English ( pdf )