An Elliptic System Related to the Stationary Thermistor Problem
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Publication:5018862
DOI10.1137/21M1420058zbMath1480.35152OpenAlexW4206463224MaRDI QIDQ5018862
Publication date: 24 December 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/21m1420058
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47) Quasilinear elliptic equations (35J62)
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Cites Work
- Thermistor systems of \(p(x)\)-Laplace-type with discontinuous exponents via entropy solutions
- A quasilinear elliptic system with natural growth terms
- \(p\)-Laplace thermistor modeling of electrothermal feedback in organic semiconductor devices
- Existence results for a nonlinear elliptic system modeling a temperature dependent electrical resistor
- Existence of weak solutions for the nonstationary problem of the Joule heating of a conductor
- On the regularizing effect of strongly increasing lower order terms
- Semi-linear second-order elliptic equations in \(L^1\)
- The evolution thermistor problem with degenerate thermal conductivity
- On a turbulent system with unbounded eddy viscosities
- Stationary solutions to the thermistor problem
- Existence results for nonlinear elliptic equations with degenerate coercivity
- Remark on existence and uniqueness for the thermistor problem under mixed boundary conditions
- EXISTENCE OF FINITE ENERGY SOLUTIONS FOR ELLIPTIC SYSTEMS WITH L1-VALUED NONLINEARITIES
- The stationary thermistor problem with a current limiting device
- A uniqueness result for the thermistor problem
- The Thermistor Problem: Existence, Smoothness Uniqueness, Blowup