Ambesh Kumar Pandey

Gradient estimates for generalized double phase problems with two modulating coefficients

We prove local Calder\'on-Zygmund estimates for distributional solutions to non-uniformly elliptic equations in divergence form modeled on the energy density $a(x)G(|z|)+b(x)H(|z|)$, where $G$ and $H$ are Young functions and $a(\cdot)$, $b(\cdot)$ are nonnegative coefficients, H\"older continuous with exponents $\alpha...