Remarks on free boundary problems for the flux equations in plasma physics

DOI10.1080/03605308008820152zbMath0444.35039OpenAlexW2052603995MaRDI QIDQ3887853

Kung-Ching Chang

Publication date: 1980

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308008820152

zbMATH Keywords

nonlinear eigenvalue problemfixed point theoremfirst eigenvaluefree boundary problemsplasma physicsset valued mappingglobal bifurcation theoremexistence of a nontrivial solutionasymptotically linear mapping in ordered Banach spacesflux equations in plasma physics

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Equations involving nonlinear operators (general) (47J05) Free boundary problems for PDEs (35R35) Bifurcations in context of PDEs (35B32)

Related Items (2)

A global solution curve for a class of free boundary value problems arising in plasma physics ⋮ On a free boundary problem of plasma equilibria - asymptotic behavior and symmetric property of a solution -

Cites Work

• A non-linear eigenvalue problem: the shape at equilibrium of a confined plasma
• Fixed points of asymptotically linear maps in ordered Banach spaces
• Remarks on a free Boundary Value Problem Arising in Plasma Physics

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