Application of nonlinear Bratu's equation in two and three dimensions to electrostatics

DOI10.1016/S0034-4877(15)30034-3zbMath1332.78007MaRDI QIDQ261575

F. Blanchet-Sadri, M. Dambrine

Publication date: 24 March 2016

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

plasmapotentialnonlinear equationPoisson equationelectrostaticsLiouville equationBratu problem

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Electro- and magnetostatics (78A30)

Related Items (2)

Unnamed Item ⋮ A variational method for solving two-dimensional Bratu's problem

Cites Work

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• A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
• Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures
• Rotational symmetry of solutions of some nonlinear problems in statistical mechanics and in geometry
• PLTMGC: A Multigrid Continuation Program for Parameterized Nonlinear Elliptic Systems
• The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory

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