Abstract
We study a nonlinear periodic problem driven by the scalar $p$-Laplacian. The reaction term is a Carathéodory function $f(t,x)$ which satisfies only a unilateral growth condition in the $x$-variable. Assuming strict monotonicity for the quotient $f(t,x)\big/x^{p-1}$ and using variational methods coupled with suitable truncation techniques, we produce necessary and sufficient conditions for the existence and uniqueness of positive solutions.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
