| Title: | Neumann problem with a discontinuous nonlinearity |
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| Authors: | ID Choudhuri, Debajyoti (Author)
ID Repovš, Dušan (Author)
ID Saoudi, Kamel (Author) |
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| Files: |  PDF - Presentation file, download (648,46 KB)
MD5: 29457D8BC15369418D24376A2E524181
 URL - Source URL, visit https://www.degruyterbrill.com/document/doi/10.1515/dema-2025-0229/html
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
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| Abstract: | This study is devoted to proving the existence of weak solutions for a nonlinear elliptic problem with Neumann-type boundary data. The problem is driven by a discontinuous power nonlinearity and a nonsmooth prescribed data. Additionally, we aim to derive an estimate that proves the well-posedness of the problem. This estimate serves as an evidence for the uniqueness of the existing solution when the boundary term is “smooth”. |
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| Keywords: | Neumann problem, discontinuous nonlinearity, nonsmooth Palais-Smale condition |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.01.2026 |
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| Year of publishing: | 2026 |
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| Number of pages: | 12 str. |
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| Numbering: | Vol. 59, iss. 1, article no. 20250229 |
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| PID: | 20.500.12556/DiRROS-29225  |
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| UDC: | 517.9 |
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| ISSN on article: | 2391-4661 |
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| COBISS.SI-ID: | 276617987 |
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| Note: |
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| Publication date in DiRROS: | 28.04.2026 |
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| Views: | 45 |
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| Downloads: | 18 |
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| Metadata: |    |
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