Gradient estimate for asymptotically regular elliptic equations of double phase with variable exponents

Shuang Liang and Shenzhou Zheng

Mathematische Nachrichten, 2023, vol. 296, issue 2, 701-715

Abstract: We devote this paper to the proof of a regularity result for the solutions of asymptotically regular elliptic equations with (p(x),q(x))$(p(x),q(x))$‐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.

Date: 2023
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