Article
| Title: | Degenerate elliptic equations with variable exponents and multiple types of terms (English) |
| Author: | Teyar, Radjia |
| Author: | Khelifi, Hichem |
| Author: | Mokhtari, Fares |
| Language: | English |
| Journal: | Commentationes Mathematicae Universitatis Carolinae |
| ISSN: | 0010-2628 (print) |
| ISSN: | 1213-7243 (online) |
| Volume: | 65 |
| Issue: | 2 |
| Year: | 2024 |
| Pages: | 187-201 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We present a comprehensive analysis of the existence and regularity of distributional solutions for a given class of nonlinear degenerate elliptic equations. The equations under consideration contain singular gradient lower order terms and are related to the $L^{m}$ data, where the exponent $m$ satisfies $1<m<{d}/{p^{-}}$. To deal with this problem, we use a functional framework that includes Lebesgue--Sobolev spaces with variable exponents. Our findings provide valuable additions to the previous research discussed in Nonlinear degenerate $p(x)$-Laplacian equation with singular gradient and lower order term (2023) by H. Khelifi and M. A. Zouatini. (English) |
| Keyword: | degenerate elliptic equation |
| Keyword: | singular gradient lower order term |
| Keyword: | existence and regularity |
| Keyword: | Harnack inequality |
| Keyword: | $L^{m}$-data |
| MSC: | 35J62 |
| MSC: | 35J70 |
| MSC: | 35J75 |
| DOI: | 10.14712/1213-7243.2025.007 |
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| Date available: | 2025-11-12T14:07:55Z |
| Last updated: | 2025-11-14 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153168 |
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