Liouville-type theorems and existence of solutions for quasilinear elliptic equations with nonlinear gradient terms

@article{Chang2022LiouvilletypeTA,
  title={Liouville-type theorems and existence of solutions for quasilinear elliptic equations with nonlinear gradient terms},
  author={Caihong Chang and Bei Hu and Zhengce Zhang},
  journal={Nonlinear Analysis},
  year={2022}
}
2 Citations

On the Liouville property for fully nonlinear equations with superlinear first-order terms

We consider in this note one-side Liouville properties for viscosity solutions of various fully nonlinear uniformly elliptic inequalities, whose prototype is F (x,Du) ≥ Hi(x, u,Du) in R , where Hi

A priori estimates and Liouville type results for quasilinear elliptic equations involving gradient terms

. In this article we study local and global properties of positive solutions of − ∆ m u = | u | p − 1 u + M |∇ u | q in a domain Ω of R N , with m > 1, p, q > 0 and M ∈ R . Following some ideas used

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