Loading [MathJax]/jax/output/CommonHTML/jax.js
World Scientific
Skip main navigation

Cookies Notification

We use cookies on this site to enhance your user experience. By continuing to browse the site, you consent to the use of our cookies. Learn More
×

System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours.
For online purchase, please visit us again. Contact us at customercare@wspc.com for any enquiries.

Blow-up analysis of stationary solutions to a Liouville-type equation in 3D

    https://doi.org/10.1142/S0219199724500202Cited by:0 (Source: Crossref)

    In this paper, we study the asymptotic behavior of sequences of stationary weak solutions to the following Liouville-type equation:

    Δu=euin Ω,(1)
    where Ω3 is an open set. By improving the partial regularity estimates obtained by the first author in F. Da Lio [Partial regularity for stationary solutions to Liouville-type equation in dimension 3, Comm. Partial Differential Equations33(10–12) (2008) 1890–1910] for Eq.(1) we succeed in performing a blow-up analysis without Morrey-type assumptions on the solutions u and on the nonlinearity eu.

    AMSC: 35J61, 35B44, 35B65, 35D30