20.500.12556/RUL-109147 Double-phase problems with reaction of arbitrary growth We consider a parametric nonlinear nonhomogeneous elliptic equation, driven by the sum of two differential operators having different structure. The associated energy functional has unbalanced growth and we do not impose any global growth conditions to the reaction term, whose behavior is prescribed only near the origin. Using truncation and comparison techniques and Morse theory, we show that the problem has multiple solutions in the case of high perturbations. We also show that if a symmetry condition is imposed to the reaction term, then we can generate a sequence of distinct nodal solutions with smaller and smaller energies. double-phase problem nonlinear maximum principle nonlinear regularity theory critical point theory critical groups true false true Angleški jezik Ni določen Članek v reviji 2019-08-23 13:05:31 2019-08-23 13:05:33 2022-08-21 03:40:17 0000-00-00 00:00:00 2018 0 0 Str. 1-21 iss. 4 art. 108 Aug. 2018 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.956.2 0044-2275 10.1007/s00033-018-1001-2 18409561 26662656 RAZ_Papageorgiou_Nikolaos_Socrates_i2018.pdf RAZ_Papageorgiou_Nikolaos_Socrates_i2018.pdf 1 9697D08B2A424B02FD18CCECD7A79A83 11ba8c334e50ab158da0ed126c45fafc153236e31bc5b894233b6b354bae1fed caa00cb9-a1b6-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=120631 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0