![Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5943/TOC-Subject-Sample-2021-Mathematics-Statistics.jpg"})
The Nonlinear problem -△u+f(u) =g (x) in a domain Ω u=0 on ∂Ω is considered where we study the “non-diffusion” property (the support of u coincides with that of the function g(x)) under optimal conditions on g(x). Moreover we prove a pointwise "nondegeneracy" property (u grows faster than some function of the distance to the free boundary), and we give an application to the numerical approximation of the free boundary.
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
To request a reprint or corporate permissions for this article, please click on the relevant link below:
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
Obtain permissions instantly via Rightslink by clicking on the button below:
If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.