Neumann problem with a discontinuous nonlinearity
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866913061353291776 |
|---|---|
| author | Choudhuri, Debajyoti Repovš, Dušan D. Saoudi, Kamel |
| author_facet | Choudhuri, Debajyoti Repovš, Dušan D. Saoudi, Kamel |
| contents | 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". |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_18732 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Neumann problem with a discontinuous nonlinearity Choudhuri, Debajyoti Repovš, Dušan D. Saoudi, Kamel Analysis of PDEs Functional Analysis 35J35, 35J60, 35R11, 35J75, 46E35 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". |
| title | Neumann problem with a discontinuous nonlinearity |
| topic | Analysis of PDEs Functional Analysis 35J35, 35J60, 35R11, 35J75, 46E35 |
| url | https://arxiv.org/abs/2603.18732 |