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math.AP2026
Fractional porous medium equation on manifolds with nonnegative Ricci curvature: existence of solutions and smoothing effects via potential methods
Dorothea-Enrica von Criegern, Gabriele Grillo, Dario Daniele Monticelli
We study the fractional porous medium equation on complete noncompact Riemannian manifolds with nonnegative Ricci curvature for and . Assuming that the manifold i…
math.AP2026
Quasilinear Liouville equation on manifolds with nonnegative Ricci curvature
Giovanni Catino, Dario Daniele Monticelli, Alberto Roncoroni
We prove rigidity and classification results for the quasilinear Liouville equation associated with the -Laplacian on complete noncompact Riemannian manifolds with nonnegative R…