Analysis of \(p(x)\)-Laplace thermistor models describing the electrothermal behavior of organic semiconductor devices

DOI10.1016/j.nonrwa.2016.09.015zbMath1366.82064OpenAlexW2535547938MaRDI QIDQ332404

Matthias Liero, Annegret Glitzky

Publication date: 8 November 2016

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2016.09.015

zbMATH Keywords

bounded solutionregularity of solutionCaccioppoli estimates\(p(x)\)-Laplacianthermistor model

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with optics and electromagnetic theory (35Q60) A priori estimates in context of PDEs (35B45) Statistical mechanics of semiconductors (82D37) Electro- and magnetostatics (78A30) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (10)

Unnamed Item ⋮ Existence of weak solutions of an unsteady thermistor system with \(p\)-Laplacian type equation ⋮ 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 ⋮ The 3D transient semiconductor equations with gradient-dependent and interfacial recombination ⋮ Systems Describing Electrothermal Effects with $p(x)$-Laplacian-like Structure for Discontinuous Variable Exponents ⋮ 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

• Lebesgue and Sobolev spaces with variable exponents
• \(p\)-Laplace thermistor modeling of electrothermal feedback in organic semiconductor devices
• Regularity of minima: an invitation to the dark side of the calculus of variations.
• A \(W^{1,p}\)-estimate for solutions to mixed boundary value problems for second order elliptic differential equations
• On Lavrentiev's phenomenon
• On some variational problems
• A transmission problem in the calculus of variations
• Functionals with \(p(x)\) growth
• Global higher integrability of minimizers of variational problems with mixed boundary conditions
• Variational Analysis in Sobolev andBVSpaces
• Analytic Inequalities
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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