Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418325 | Journal of Mathematical Analysis and Applications | 2014 | 9 Pages |
Abstract
In this note we present some uniqueness and comparison results for a class of problem of the form(0.1)âLu=H(x,u,âu)+h(x),uâH01(Ω)â©Lâ(Ω), where ΩâRN, Nâ¥2 is a bounded domain, L is a general elliptic second order linear operator with bounded coefficients and H is allowed to have a critical growth in the gradient. In some cases our assumptions prove to be sharp.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
David Arcoya, Colette De Coster, Louis Jeanjean, Kazunaga Tanaka,