Capillary Lₚ dual Minkowski flow

For n≥2 and θ∈(0,π/2), we study the long-time existence and asymptotic behavior of an even normalized capillary Lₚ dual Minkowski flow in the Euclidean half-space Rⁿ⁺¹₊. When pq≥0, the flow exists for all positive time and the evolving hypersurfaces converge smoothly along a sequence of times tending to infinity to a stationary solution of the normalized problem. If p≠ q, a dilation of the limit solves the unnormalized problem.