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anisotropic coarsening 1bifurcation theory 1boundary-driven dynamics 1conserved dynamics 1elliptic equations 1model b 1nonlocal operators 1phase separation 1spectral analysis 1torus geometry 1

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20242026
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math.AP2026

Lack of uniqueness for an elliptic equation with nonlinear and nonlocal drift posed on a torus

Adrian Muntean, Giulia Rui

The paper investigates a nonlinear, nonlocal elliptic equation on the flat torus and demonstrates that, beyond the constant solutions, uniqueness fails by proving bifurcating branc…