Liu, ZhenhaiPapageorgiou, Nikolaos S.2023-05-232023-05-232023-03-30Liu, Z., & Papageorgiou, N. S. (2023). A weighted (p,2)-equation with double resonance. <i>Electronic Journal of Differential Equations, 2023</i>(30), pp. 1-18.1072-6691https://hdl.handle.net/10877/16865We consider a Dirichlet problem driven by a weighted (p,2)-Laplacian with a reaction which is resonant both at $\pm\infty$ and at zero (double resonance). We prove a multiplicity theorem producing three nontivial smooth solutions with sign information and ordered. In the Appendix we develop the spectral properties of the weighted r-Laplace differential operator.Text18 pages1 file (.pdf)enAttribution 4.0 InternationalConstant sign and nodal solutionsNonlinear regularityNonlinear maximum principleCritical groupsSpectrum of weighted r-LaplacianDouble resonanceArticle