General p-curl systems and duality mappings on Sobolev spaces for Maxwell equations
| dc.contributor.author | Adhikari, Dhruba R. | |
| dc.contributor.author | Stachura, Eric | |
| dc.date.accessioned | 2021-10-11T16:47:48Z | |
| dc.date.available | 2021-10-11T16:47:48Z | |
| dc.date.issued | 2020-11-24 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 22 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Adhikari, D. R., & Stachura, E. (2020). General p-curl systems and duality mappings on Sobolev spaces for Maxwell equations. <i>Electronic Journal of Differential Equations, 2020</i>(116), pp. 1-22. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14627 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | p-curl operator | |
| dc.subject | Duality mappings | |
| dc.subject | Trace theorems | |
| dc.subject | Nemytskii operator | |
| dc.title | General p-curl systems and duality mappings on Sobolev spaces for Maxwell equations | |
| dc.type | Article |