Abstract
We consider a one-phase exterior Bernoulli type free boundary problem in \(\mathbb{R }^2\) with a non constant, only continuous, free boundary condition. In this article, we present geometry and regularity properties of the largest viscosity subsolution of this problem. Moreover, we provide density bounds for the positivity set and its complement near the free boundary.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Calculus of Variations and Partial Differential Equations
Disclaimer: 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.