Galerkin approximation, strong continuity of the relative rearrangement map and application to plasma physics equations

Publication date: 26 January 2003

Published in: Differential and Integral Equations (Search for Journal in Brave)

Galerkin method Sobolev space eigenvalues Dirichlet boundary conditions Laplace operator eigenfunctions nonlinear elliptic equations plasma physics Brouwer fixed-point theorem strong continuity relative rearrangement map

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with optics and electromagnetic theory (35Q60) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (6)

Mathematical treatment of the magnetic confinement in a current carrying stellarator ⋮ Multivalued fixed point index and nonlocal problems involving relative rearrangement ⋮ On a nonlocal elliptic problem arising in the magnetic confinement of a plasma in a stellarator ⋮ On a nonlocal problem for a confined plasma in a tokamak. ⋮ Numerical Approximations of the Relative Rearrangement: The piecewise linear case. Application to some Nonlocal Problems ⋮ On a nonlocal elliptic problem arising in the confinement of a plasma in a current carrying stellarator

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