English

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

Analysis of PDEs 2011-05-11 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1104.3394,
  title  = {Global regularity of solutions to quasilinear conormal derivative problem with controlled growth},
  author = {Doyoon Kim},
  journal= {arXiv preprint arXiv:1104.3394},
  year   = {2011}
}

Comments

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