20.500.12556/RUL-109144 Nodal solutions for the Robin ▫$p$▫-Laplacian plus an indefinite potential and a general reaction term We consider a nonlinear Robin problem driven by the ▫$p$▫-Laplacian plus an indefinite potential. The reaction term is of arbitrary growth and only conditions near zero are imposed. Using critical point theory together with suitable truncation and perturbation techniques and comparison principles, we show that the problem admits a sequence of distinct smooth nodal solutions converging to zero in ▫$C^1(\overline{\Omega})$▫. Robin p-Laplacian indefinite potential nodal solutions truncation techniques comparison principle true false true Angleški jezik Ni določen Članek v reviji 2019-08-23 09:42:40 2019-08-23 09:42:40 2022-08-21 03:40:16 0000-00-00 00:00:00 2018 0 0 Str. 231-241 no. 1 Vol. 17 2018 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.956.2 1534-0392 10.3934/cpaa.2018014 18124633 15066457 RAZ_Papageorgiou_Nikolaos_i2018.pdf RAZ_Papageorgiou_Nikolaos_i2018.pdf 1 995193CAB4AEF0A489853BA8ED9C5922 95a0df037001facef0d1d26c7d971a78cc3ca1271990d0720bc65bc49251ef4b cacfd984-a1b6-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=120634 https://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=14567 1 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=120606 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0