Local behavior of solutions of quasi-linear equations

@article{Serrin1964LocalBO,
  title={Local behavior of solutions of quasi-linear equations},
  author={James Serrin},
  journal={Acta Mathematica},
  year={1964},
  volume={111},
  pages={247-302}
}
  • J. Serrin
  • Published 1 July 1964
  • Mathematics
  • Acta Mathematica
This paper deals with the local behavior of solutions of quasi-linear partial differential equations of second order in n/> 2 independent variables. ~re shall be concerned specifically with the a priori majorization of solutions, the nature of removable singularities, and the behavior of a positive solution in the neighborhood of an isolated singularity. Corresponding results are for the most par t well known for the case of the Laplace equation; roughly speaking, our work constitutes an… 
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