20.500.12556/RUL-128542 Positive solutions for singular double phase problems We study the existence of positive solutions for a class of double phase Dirichlet equations which have the combined effects of a singular term and of a parametric superlinear term. The differential operator of the equation is the sum of a ▫$p$▫-Laplacian and of a weighted ▫$q$▫-Laplacian ▫$(q<p)$▫ with discontinuous weight. Using the Nehari method, we show that for all small values of the parameter ▫$\lambda > 0$▫, the equation has at least two positive solutions. double phase problem singular term Nehari manifold positive solutions discontinuous weight true false true Angleški jezik Angleški jezik Neznano 2021-07-19 08:48:51 2021-07-19 08:48:53 2022-09-07 04:15:49 0000-00-00 00:00:00 2021 0 0 art. 123896 (13 str.) ǂiss.ǂ1 Vol. 501 Sep. 2021 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 2023-01-23 517.956.2 0022-247X 10.1016/j.jmaa.2020.123896 18898521 RAZ_Papageorgiou_Nikolaos_2021.pdf RAZ_Papageorgiou_Nikolaos_2021.pdf 1 CC0785BE8AE0F559F1CD319E847B9D1E 847198f4be58a811b3f3f364aa6d6852544e59b30d92cf31077758ad1543f03e 4b31ac28-e85d-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=145304 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0