Local regularity theorems for the stationary thermistor problem with oscillating degeneracy

DOI10.1016/j.jmaa.2007.05.025zbMath1132.35489OpenAlexW1993250535MaRDI QIDQ2473881

Xiangsheng Xu

Publication date: 5 March 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.05.025

zbMATH Keywords

regularitycapacity solution\(A_{2}\) weightoscillating degeneracytermistor problem

Mathematics Subject Classification ID

Related Items (4)

Existence of a capacity solution to a nonlinear parabolic-elliptic coupled system in anisotropic Orlicz-Sobolev spaces ⋮ Blow-up for a nonlocal parabolic equation ⋮ A limit model for thermoelectric equations ⋮ Asymptotic behavior of a degenerate nonlocal parabolic equation

Cites Work

• Existence of a solution to the Stefan problem with Joule's heating
• Partial regularity for stationary harmonic maps into spheres
• On the existence of bounded temperature in the thermistor problem with degeneracy
• A local partial regularity theorem for weak solutions of degenerate elliptic equations and its application to the thermistor problem.
• Local partial regularity theorems for suitable weak solutions of a class of degenerate systems
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• The local regularity of solutions of degenerate elliptic equations
• $C^\alpha (\bar \Omega )$ Solutions of a Class of Nonlinear Degenerate Elliptic Systems Arising in the Thermistor Problem
• The Thermistor Problem: Existence, Smoothness Uniqueness, Blowup
• Partial regularity of solutions to a class of degenerate systems
• Local regularity theorems for the stationary thermistor problem
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