scientific article; zbMATH DE number 818423

zbMath0844.35138MaRDI QIDQ4855770

Yong Liu, Avner Friedman

Publication date: 29 August 1996

Full work available at URL: http://www.numdam.org/item?id=ASNSP_1995_4_22_3_375_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

regularity of free boundaryplasma confinement

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Free boundary problems for PDEs (35R35) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

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Cites Work

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• Boundary behavior of harmonic functions in non-tangentially accessible domains
• A Harnack inequality approach to the regularity of free boundaries. I: Lipschitz free boundaries are \(C^{1,\alpha}\)
• A non-linear eigenvalue problem: the shape at equilibrium of a confined plasma
• Eigenvalue inequalities for the Dirichlet problem on spheres and the growth of subharmonic functions
• Regularity in elliptic free boundary problems. I
• Estimates of harmonic measure
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• A theorem of real analysis and its application to free boundary problems
• Conditional Gauge and Potential Theory for the Schrodinger Operator
• A Harnack inequality approach to the regularity of free boundaries part II: Flat free boundaries are Lipschitz
• Remarks on a free Boundary Value Problem Arising in Plasma Physics
• Variational problems with two phases and their free boundaries
• A free boundary tokamak equilibrium