On a class of parametric ▫$(p, 2)$▫-equationsPapageorgiou, Nikolaos S. (Avtor) Rǎdulescu, Vicenţiu (Avtor) Repovš, Dušan (Avtor) near resonancelocal minimizercritical groupconstant sign and nodal solutionsnonlinear maximum principleWe consider parametric equations driven by the sum of a ▫$p$▫-Laplacian and a Laplace operator (the so-called ▫$(p, 2)$▫-equations). We study the existence and multiplicity of solutions when the parameter ▫$\lambda > 0$▫ is near the principal eigenvalue ▫$\hat{\lambda}_1(p) > 0$▫ of ▫$(-\Delta_p,W^{1-p}_0(\Omega))$▫. We prove multiplicity results with precise sign information when the near resonance occurs from above and from below of ▫$\hat{\lambda}_1(p) > 0$▫.20172019-09-10 14:02:22Članek v reviji109938UDK: 517.956.2ISSN pri članku: 0095-4616DOI: 10.1007/s00245-016-9330-zCOBISS_ID: 17592153OceCobissID: 24984064sl