Discrete comparison principles for quasilinear elliptic PDE

Existence Results for a Dirichlet Quasilinear Elliptic Problem

In this paper, existence results of positive classical solutions for a class of second-order differential equations with the nonlinearity dependent on the derivative are established. The approach is based on variational methods.

Discrete Maximum Principles for Nonlinear Parabolic PDE Systems

Sturmian Comparison Results for Quasilinear Elliptic Equations in R

We obtain Sturmian comparison results for the nonnegative solutions to Dirichlet problems associated with p-Laplacian operators. From Picone-type identities [4, 9], we obtain results comparing solutions of two types of equations. We also present results related to those operators using Piconetype identities.

On discrete maximum principles for nonlinear elliptic problems

Large Solutions for Quasilinear Elliptic Equations