Bifurcation analysis for a free boundary problem modeling tumor growth

@article{Escher2010BifurcationAF,
  title={Bifurcation analysis for a free boundary problem modeling tumor growth},
  author={Joachim Escher and Anca-Voichita Matioc},
  journal={Archiv der Mathematik},
  year={2010},
  volume={97},
  pages={79-90}
}
In this paper we deal with a free boundary problem modeling the growth of nonnecrotic tumors. The tumor is treated as an incompressible fluid, the tissue elasticity is neglected and no chemical inhibitor species are present. We re-express the mathematical model as an operator equation and by using a bifurcation argument we prove that there exist smooth stationary solutions of the problem which are not radially symmetric. 

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