General p-curl systems and duality mappings on Sobolev spaces for Maxwell equations
Date
2020-11-24
Authors
Adhikari, Dhruba R.
Stachura, Eric
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We study a general p-curl system arising from a model of type-II superconductors. We show several trace theorems that hold on either a Lipschitz domain with small Lipschitz constant or on a C1,1 domain. Certain duality mappings on related Sobolev spaces are computed and used to establish surjectivity results for the p-curl system. We also solve a nonlinear boundary value problem for a general p-curl system on a C1,1 domain and provide a variational characterization of the first eigenvalue of the p-curl operator.
Description
Keywords
p-curl operator, Duality mappings, Trace theorems, Nemytskii operator
Citation
Adhikari, D. R., & Stachura, E. (2020). General p-curl systems and duality mappings on Sobolev spaces for Maxwell equations. Electronic Journal of Differential Equations, 2020(116), pp. 1-22.
Rights
Attribution 4.0 International