Global regularity of solutions to quasilinear conormal derivative problem with controlled growth

Details Global regularity of solutions to quasilinear conormal derivative problem with controlled growth Global regularity of solutions to quasilinear conormal derivative problem with controlled growth

2011-04-18

arxiv.org/abs/1104.3394v2

Mathematics

Analysis of PDEs

Added references. Corrected typos

Scientific paper

We prove the global regularity of weak solutions to the conormal derivative
boundary value problem for quasilinear elliptic equations in divergence form on
Lipschitz domains under the controlled growth conditions on the low order
terms. The leading coefficients are in the class of BMO functions with small
mean oscillations.

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