On the boundary values of solutions of a problem arising in plasma physics

DOI10.1016/0362-546X(82)90104-3zbMath0509.35031OpenAlexW2047813528MaRDI QIDQ4746914

Catherine Bandle, Morel M. Marcus

Publication date: 1982

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(82)90104-3

zbMATH Keywords

variational solutionsnonlinear Dirichlet problemsboundary values of solutions

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonlinear elliptic equations (35J60) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Statistical mechanics of plasmas (82D10) Free boundary problems for PDEs (35R35) Variational methods for second-order elliptic equations (35J20)

Related Items

Multiple solutions for a free boundary problem arising in plasma physics ⋮ On the uniqueness and monotonicity of solutions of free boundary problems ⋮ Asymptotic behavior of minimal solutions of \(-\Delta u=\lambda f(u)\) as \(\lambda\to-\infty\) ⋮ A priori estimates and the boundary values of solutions for a problem arising in plasma physics ⋮ Generic properties of free boundary problems in plasma physics* ⋮ Exact bounds for the radially symmetric shape of confined plasma in the unit circle ⋮ New universal estimates for free boundary problems arising in plasma physics

Cites Work

• Positive eigenfunctions for \(\Delta u+\lambda f(u) = 0\)
• Absolute continuity on tracks and mappings of Sobolev spaces
• Qualitative Behavior and Bounds in a Nonlinear Plasma Problem
• On a free boundary problem arising in plasma physics
• Remarks on a free Boundary Value Problem Arising in Plasma Physics
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