20.500.12556/RUL-182175 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 Članek v reviji 2026-04-28 10:30:32 2026-04-28 10:30:36 2026-04-29 04:34:53 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 B1CED5F49D0F0FE0EB17C553EAA96FD6 39e8c9682797d14e4c672c2fb64cefd7f63998191cc66c03bafc794a0e3afb5f b08770ed-42de-11f1-b0ab-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=233157 https://www.degruyterbrill.com/document/doi/10.1515/dema-2025-0229/html 1 49a233ac-42dc-11f1-b0ab-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=233155 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0