Local and Global Weak Solutions for Elliptic Nonlinear Equations

In this work, it is considered that a certain quasilinear elliptic equation in an open bounded domain in Rn over a vector space, and we derive gradient estimates for weak solutions of p-Laplacian type elliptic equations with tiny bounded mean oscillation coefficients locally Lp, p ≥ q. In addition, we provide the key findings.