20.500.12556/RUL-110326 Pairs of positive solutions for resonant singular equations with the ▫$p$▫-Laplacian We consider a nonlinear elliptic equation driven by the Dirichlet ▫$p$▫-Laplacian with a singular term and a ▫$(p-1)$▫-linear perturbation which is resonant at ▫$+\infty$▫ with respect to the principal eigenvalue. Using variational tools, together with suitable truncation and comparison techniques, we show the existence of at least two positive smooth solutions. singular reaction resonance regularity positive solutions maximum principle mountain pass theorem true false true Angleški jezik Ni določen Članek v reviji 2019-09-13 13:21:44 2019-09-13 13:21:45 2022-08-22 03:43:05 0000-00-00 00:00:00 2017 0 0 Str. 1-13 no. 249 Vol. 2017 2017 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.956.2 1072-6691 18154073 7027289 RAZ_Papageorgiou_Nikolaos_Socrates_i2017.pdf RAZ_Papageorgiou_Nikolaos_Socrates_i2017.pdf 1 0B16C819C88C297ABFE25B94C2C14787 b7a8cec700a1abc203c167c655ed3a7c0e5cdca68a5c43b142e025fecfe9578b 17eac6bc-a1b7-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=121981 https://ejde.math.txstate.edu/Volumes/2017/249/papageorgiou.pdf 1 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=121982 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0