20.500.12556/DiRROS-29225 Neumann problem with a discontinuous nonlinearity 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”. Neumann problem discontinuous nonlinearity nonsmooth Palais-Smale condition Neumannov problem Palais-Smaleov pogoj true false true Angleški jezik Slovenski jezik Neznano 2026-04-28 10:30:34 2026-04-28 10:30:35 2026-04-29 03:43:58 0000-00-00 00:00:00 2026 0 0 12 str. iss. 1, article no. 20250229 Vol. 59 Jan. 2026 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2026-01-01 517.9 2391-4661 276617987 10.1515_dema-2025-0229.pdf 10.1515_dema-2025-0229.pdf 1 29457D8BC15369418D24376A2E524181 0171841a2adb397c2f6f9b0b03e0f57ab108181c888cfee77761e1fbf1b3e51a ecb68213-42de-11f1-a4de-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=43719 https://www.degruyterbrill.com/document/doi/10.1515/dema-2025-0229/html 1 91e1ac46-42dc-11f1-a4de-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=43716 Inštitut za matematiko, fiziko in mehaniko 0 0 0