Boundary value problems for the Vlasov-Maxwell system
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])
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| Main Authors: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Universidad Nacional de Colombia y Sociedad Colombiana de Matemáticas
2007
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| Online Access: | http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0034-74262007000300003 |
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| Summary: | 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]) |
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