Abstract
In this work we consider the boundary blow-up problem{Δu=f(u)in Bu=+∞on ∂B where B stands for the unit ball of RN and f is a locally Lipschitz function which is positive for large values and verifies the Keller–Osserman condition. Under an additional hypothesis on the asymptotic behavior of f we show that all solutions of the above problem are radially symmetric and radially increasing. Our condition is sharp enough to generalize several results in previous literature.
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.
