20.500.12556/RUL-146155 A double phase problem with a nonlinear boundary condition In this paper we prove the existence of solutions to a double phase problem with a prescribed nonlinear boundary condition which is nonlinear in nature. The driving nonlinear perturbations obey a suitable condition at the origin and on the boundary. To the best of our knowledge, a double phase measure data problem with nonlinear boundary condition is new and has not been studied yet. The novelty of our work lies in using the well known weak convergence method to guarantee the existence of solutions. We also provide an illustrative example. variable exponent Sobolev space double phase operator nonlinear boundary condition Steklov eigenvalue problem Robin eigenvalue problem existence true false true Angleški jezik Ni določen Članek v reviji 2023-05-22 10:34:29 2023-05-22 10:34:32 2023-05-25 03:36:57 0000-00-00 00:00:00 2023 0 0 17 str. iss. 4, art. 121 Vol. 46 July 2023 0000-00-00 PostprintKoncna Objavljeno NiDoloceno 0000-00-00 0000-00-00 2023-07-01 2024-07-01 517.9 0126-6705 10.1007/s40840-023-01513-2 152552963 RAZ_Choudhuri_Debajyoti_2023.pdf RAZ_Choudhuri_Debajyoti_2023.pdf 1 AB0205AFB1C350252FC437D53EC7CCAF 702555ddc64bbfeb16b85f9395b6e4c44db0971e95c52f5b41d451af40d7a1ea 16ba97d0-f87d-11ed-a314-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=169298 https://link.springer.com/article/10.1007/s40840-023-01513-2 1 34d818b3-f87b-11ed-a314-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=169297 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0