Dirichlet Problems for Semilinear Elliptic Equations with a Fast Growth Coefficient on Unbounded Domains

@inproceedings{Jin2005DirichletPF,
  title={Dirichlet Problems for Semilinear Elliptic Equations with a Fast Growth Coefficient on Unbounded Domains},
  author={Zhiren Jin},
  year={2005}
}
When an unbounded domain is inside a slab, existence of a positive solution is proved for the Dirichlet problem of a class of semilinear elliptic equations that are similar either to the singular Emden-Fowler equation or a sublinear elliptic equation. The result obtained can be applied to equations with coefficients of the nonlinear term growing… CONTINUE READING