Energy Estimates and Existence Results for a Quasilinear Periodic Boundary Value Problem

No Thumbnail Available

Date

2024

Journal Title

Journal ISSN

Volume Title

Publisher

Springer Basel Ag

Research Projects

Organizational Units

Journal Issue

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.

Description

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

Start Page

End Page