Existence and blow up of solutions to certain classes of two-dimensional nonlinear Neumann problems

DOI10.1016/j.anihpc.2005.02.008zbMath1157.35385OpenAlexW2069192125MaRDI QIDQ2507957

Kai Medville, Michael S. Vogelius

Publication date: 5 October 2006

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2006__23_4_499_0

zbMATH Keywords

nonlinear Neumann boundary conditionscritical pointsblow up

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for linear elliptic equations (35J65) A priori estimates in context of PDEs (35B45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (3)

Finding multiple solutions to elliptic PDE with nonlinear boundary conditions ⋮ New solutions for critical Neumann problems in \(\mathbb{R}^{2}\) ⋮ Existence of positive solution to Schrödinger-type semipositone problems with mixed nonlinear boundary conditions

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• A nonlinear elliptic boundary value problem related to corrosion modeling
• Blow-up behavior of Planar Harmonic Functions Satisfying a Certain Exponential Neumann Boundary Condition
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• Ginzburg-Landau vortices

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