Article
| Title: | Infinitely many solutions for Kirchhoff-type equations involving critical growth in Orlicz-Sobolev with negative energies (English) |
| Author: | Bendib, Elmostafa |
| Author: | Khiddi, Mustapha |
| Language: | English |
| Journal: | Applications of Mathematics |
| ISSN: | 0862-7940 (print) |
| ISSN: | 1572-9109 (online) |
| Volume: | 70 |
| Issue: | 3 |
| Year: | 2025 |
| Pages: | 441-456 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We investigate a class of Kirchhoff-type equations characterized by critical growth within Orlicz-Sobolev spaces. The main result establishes the existence of infinitely many solutions with negative energy. Using an adapted concentration-compactness principle and advanced variational methods, we overcome key challenges such as non-compactness and non-differentiability to the associated functionals. This work extends existing results to more general functional spaces, offering new insights into nonlocal nonlinear equations. (English) |
| Keyword: | Kirchhoff type problem |
| Keyword: | Orlicz-Sobolev space |
| Keyword: | $\Delta _{2}$-condition |
| MSC: | 35A15 |
| MSC: | 35J62 |
| MSC: | 46E30 |
| DOI: | 10.21136/AM.2025.0059-25 |
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| Date available: | 2025-07-01T12:21:02Z |
| Last updated: | 2025-07-07 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153027 |
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