Abstract
We consider a parametric problem driven by the p-Laplacian with Robin boundary condition. We assume that the reaction can change sign and we prove an existence and multiplicity theorem which is global with respect to the parameter (a bifurcation-type theorem).
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Acknowledgements
W. Zhang would like to thank the China Scholarship Council and the Embassy of the People’s Republic of China in Romania.
Funding
The research of Vicenţiu D. Rădulescu was supported by a grant of the Romanian Ministry of Research, Innovation and Digitization, CNCS/CCC-DI-UEFISCDI, project number PCE 137/2021, within PNCDI III. The research of Wen Zhang was supported by the National Natural Science Foundation of China (12271152), the Natural Science Foundation of Hunan Province (2021JJ30189, 2022JJ30200), the Key project of Scientific Research Project of Department of Education of Hunan Province (21A0387, 22A0461), the Funding Scheme for Young Backbone Teachers of universities in Hunan Province (Hunan Education Notification (2020) No. 43), and the China Scholarship Council (201908430219) for visiting the University of Craiova (Romania).
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Papageorgiou, N.S., Rădulescu, V.D. & Zhang, W. Global Existence and Multiplicity for Nonlinear Robin Eigenvalue Problems. Results Math 78, 133 (2023). https://doi.org/10.1007/s00025-023-01912-8
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DOI: https://doi.org/10.1007/s00025-023-01912-8