A weighted (p,2)-equation with double resonance
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Date
2023-03-30
Authors
Liu, Zhenhai
Papageorgiou, Nikolaos S.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We 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.
Description
Keywords
Constant sign and nodal solutions, Nonlinear regularity, Nonlinear maximum principle, Critical groups, Spectrum of weighted r-Laplacian, Double resonance
Citation
Liu, 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.