20.500.12556/RUL-159379 Singular $p$-biharmonic problem with the Hardy potential The aim of this paper is to study existence results for a singular problem involving the $p$-biharmonic operator and the Hardy potential. More precisely, by combining monotonicity arguments with the variational method, the existence of solutions is established. By using the Nehari manifold method, the multiplicity of solutions is proved. An example is also given to illustrate the importance of these results. p-biharmonic equation variational methods existence of solutions Hardy potential Nehari manifold fibering map true false true Angleški jezik Angleški jezik Članek v reviji 2024-07-08 13:38:01 2024-07-08 13:38:04 2024-11-23 07:00:48 0000-00-00 00:00:00 2024 0 0 Str. 762-782 no. 4 Vol. 29 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2024-01-01 517.9 1392-5113 10.15388/namc.2024.29.35410 199996931 35410.pdf 35410.pdf 1 D1C58185398EFBE68A0C961656F9687A 83f0636aec245316066af43e397c7ff9bbcb45106c9821fe8674d101a0fd064b d76869fe-3d1e-11ef-8f74-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=187376 https://www.journals.vu.lt/nonlinear-analysis/article/view/35410 1 8d4849ab-3d1e-11ef-8f74-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=187374 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0