Systems Describing Electrothermal Effects with $p(x)$-Laplacian-like Structure for Discontinuous Variable Exponents

DOI10.1137/16M1062211zbMath1360.35277WikidataQ59901579 ScholiaQ59901579MaRDI QIDQ2827750

Miroslav Bulíček, Matthias Liero, Annegret Glitzky

Publication date: 21 October 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

existence of weak solutionheat transfer\(p(x)\)-LaplacianSobolev spaces with variable exponentthermistor system

Mathematics Subject Classification ID

Related Items (12)

Unnamed Item ⋮ Existence of weak solutions of an unsteady thermistor system with \(p\)-Laplacian type equation ⋮ A concave-convex problem with a variable operator ⋮ Analysis of a bulk-surface thermistor model for large-area organic LEDs ⋮ Thermistor systems of \(p(x)\)-Laplace-type with discontinuous exponents via entropy solutions ⋮ On the existence of weak solutions of an unsteady \(p\)-Laplace thermistor system with strictly monotone electrical conductivities ⋮ A class of elliptic systems with discontinuous variable exponents and \(L^1\) data for image denoising ⋮ Analysis of a hybrid model for the electro-thermal behavior of semiconductor heterostructures ⋮ Dimension reduction of thermistor models for large-area organic light-emitting diodes ⋮ An existence result for a class of electrothermal drift-diffusion models with Gauss–Fermi statistics for organic semiconductors ⋮ Existence of non-zero solutions for a Dirichlet problem driven by (p(x),q(x)-Laplacian ⋮ Hybrid Finite-Volume/Finite-Element Schemes for p(x)-Laplace Thermistor Models

Cites Work

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• Analysis of \(p(x)\)-Laplace thermistor models describing the electrothermal behavior of organic semiconductor devices
• On solvability of a non-linear heat equation with a non-integrable convective term and data involving measures
• Lebesgue and Sobolev spaces with variable exponents
• \(p\)-Laplace thermistor modeling of electrothermal feedback in organic semiconductor devices
• Existence and uniqueness of “entropy” solutions of parabolic problems with L1 data
• A remark on the thermistor problem with rapidly growing conductivity
• Remark on existence and uniqueness for the thermistor problem under mixed boundary conditions
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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