Comparison results for nonlinear divergence structure elliptic PDE's

Yichen Liu*, Monica Marras, Giovanni Porru

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


First we prove a comparison result for a nonlinear divergence structure elliptic partial differential equation. Next we find an estimate of the solution of a boundary value problem in a domain ω in terms of the solution of a related symmetric boundary value problem in a ball B having the same measure as ω. For p-Laplace equations, the corresponding result is due to Giorgio Talenti. In a special (radial) case we also prove a reverse comparison result.

Original languageEnglish
Pages (from-to)438-448
Number of pages11
JournalAdvances in Nonlinear Analysis
Issue number1
Publication statusPublished - 1 Mar 2019


  • Comparison results
  • Quasi-linear equations
  • Symmetrization

Cite this