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<p>In this paper, we investigate the Dirichlet problem for a fractional Choquard-type reaction–diffusion equation within the unit ball. We begin by transforming the original equation into an equivalent para- bolic-elliptic coupled system. Next, we establish several asymptotic maximum principles for solutions to this coupled system. Utilizing the asymptotic method of moving planes, we derive results concerning the symmetry and monotonicity of solutions for the fractional Choquard-type reaction–diffusion equation in the unit ball.</p>

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Asymptotic symmetry of solutions for a fractional Choquard type reaction diffusion equation

  • 期刊论文

  • 发表日期：

    2025年6月21日

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  • Baiyu Liu,
  • Lu Wang

摘要

In this paper, we investigate the Dirichlet problem for a fractional Choquard-type reaction–diffusion equation within the unit ball. We begin by transforming the original equation into an equivalent para- bolic-elliptic coupled system. Next, we establish several asymptotic maximum principles for solutions to this coupled system. Utilizing the asymptotic method of moving planes, we derive results concerning the symmetry and monotonicity of solutions for the fractional Choquard-type reaction–diffusion equation in the unit ball.