20.500.12556/RUL-145164 Constant sign and nodal solutions for parametric anisotropic $(p, 2)$-equations We consider an anisotropic $(p, 2)$-equation, with a parametric and superlinear reaction term. We show that for all small values of the parameter the problem has at least five nontrivial smooth solutions, four with constant sign and the fifth nodal (sign-changing). The proofs use tools from critical point theory, truncation and comparison techniques, and critical groups. anisotropic operators regularity theory maximum principle constant sign and nodal solutions critical groups variable exponent electrorheological fluids true false true Angleški jezik Ni določen Članek v reviji 2023-04-12 07:20:03 2023-04-12 07:20:06 2023-05-19 03:47:31 0000-00-00 00:00:00 2023 0 0 Str. 1059-1076 no. 4 Vol. 102 2023 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.956.2 0003-6811 10.1080/00036811.2021.1971199 76549635 Constant_sign_and_nodal_solutions_for_parametric_anisotropic_p_2_equ.pdf Constant_sign_and_nodal_solutions_for_parametric_anisotropic_p_2_equ.pdf 1 45AE11D53F5202D0ECDD0F1F83FEBB53 432c524ea26aa09ba56817da72d7ac2acb46346134cf7a93cbd48a308e63c5de 485fb8cb-f57b-11ed-a314-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=169146 https://www.tandfonline.com/doi/full/10.1080/00036811.2021.1971199 1 8ea1041f-d8f1-11ed-a314-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=167850 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0