Gradient estimate for asymptotically regular elliptic equations of double phase with variable exponents
Shuang Liang, Shenzhou Zheng · Mathematische Nachrichten · 2022
Abstract We devote this paper to the proof of a regularity result for the solutions of asymptotically regular elliptic equations with ‐growth. By approximating the solutions of asymptotically regular problems with the solutions of regular problems based on a new perturbation method while the gradients of solutions close to infinity, we derive an interior Calderón–Zygmund estimate.