Abstract
We prove the global regularity of weak solutions to a conor- mal derivative boundary value problem for quasilinear elliptic equations in divergence form on Lipschitz domains under the controlled growth con- ditions on the low order terms. The leading coefficients are inthe class of BMO functions with small mean oscillations. ( −D i (Aij(x;u)Dju + ai(x;u)) = b(x;u;r u) in ; (Aij(x;u)Dju + ai(x;u)) ��(x) = 0 on @: Here the equation is a quasilinear elliptic equation in divergence form, is a bounded Lipschitz domain in R d , d � 2, with a small Lipschitz constant, and �(x) is the outward normal vector to the surface @. We call u 2 W 1 2 () a
Sign-in/Register to access full text options 
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.
