Energy Estimates and Existence Results for a Quasilinear Periodic Boundary Value Problem
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Date
2024
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Basel Ag
Abstract
This paper focuses on the existence of solutions and energy estimates for a specific type of periodic boundary value problem. By precisely determining the parameter's localization, we demonstrate the existence of non-zero solutions and infer the presence of multiple solutions for positive parameter values. This analysis necessitates the sublinearity of the nonlinear component at both the origin and infinity. Lastly, we present a multiplicity result along with an example. The proof relies on a local minimum theorem for differentiable functionals.
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Keywords
quasilinear periodic boundary value problem, weak solution, energy estimates, variational methods
Turkish CoHE Thesis Center URL
Citation
0
WoS Q
Q2
Scopus Q
Q2
Source
Volume
21
Issue
4