Article
| Title: | Capacity solutions for a degenerate $p_{i}(x)$-Laplacian thermistor system with electrical conductivities (English) |
| Author: | Khelifi, Hichem |
| Language: | English |
| Journal: | Applications of Mathematics |
| ISSN: | 0862-7940 (print) |
| ISSN: | 1572-9109 (online) |
| Volume: | 70 |
| Issue: | 2 |
| Year: | 2025 |
| Pages: | 203-230 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We establish the existence of a capacity solution for a degenerate anisotropic stationary system with variable exponents and electrical conductivity. The system is a generalization of the thermistor problem, addressing the interaction between temperature and electric potential within semiconductor material. (English) |
| Keyword: | degenerate conductivity |
| Keyword: | anisotropic equation |
| Keyword: | thermistor problem |
| Keyword: | variable exponent |
| MSC: | 35J60 |
| MSC: | 35K60 |
| MSC: | 35K65 |
| MSC: | 35M10 |
| DOI: | 10.21136/AM.2025.0220-24 |
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| Date available: | 2025-05-26T12:15:47Z |
| Last updated: | 2025-06-02 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/152980 |
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