198 citations · 200 across the 12 of their papers we have counts for
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A quantitative Gidas-Ni-Nirenberg-type result for the -Laplacian via integral identities
Serena Dipierro, João Gonçalves da Silva, Giorgio Poggesi +1
We prove a quantitative version of a Gidas-Ni-Nirenberg-type symmetry result involving the -Laplacian. Quantitative stability is achieved here via integral identities based on t…
Continuity of s-minimal functions
Claudia Bucur, Serena Dipierro, Luca Lombardini +1
We consider the minimization property of a Gagliardo-Slobodeckij seminorm which can be seen as the fractional counterpart of the classical problem of functions of least gradient an…
Time-fractional Allen-Cahn equations versus powers of the mean curvature
Serena Dipierro, Matteo Novaga, Enrico Valdinoci
We show by a formal asymptotic expansion that level sets of solutions of a time-fractional Allen-Cahn equation evolve by a geometric flow whose normal velocity is a positive power…
Napoleonic triangles on the sphere
Serena Dipierro, Lyle Noakes, Enrico Valdinoci
As is well-known, numerical experiments show that Napoleon's Theorem for planar triangles does not extend to a similar statement for triangles on the unit sphere . Spherical t…
Existence theory for a bushfire equation
Serena Dipierro, Enrico Valdinoci, Glen Wheeler +1
In a recent paper, we have introduced a new model to describe front propagation in bushfires. This model describes temperature diffusion in view of an ignition process induced by a…
Quantitative stability for overdetermined nonlocal problems with parallel surfaces and investigation of the stability exponents
Serena Dipierro, Giorgio Poggesi, Jack Thompson +1
In this article, we analyze the stability of the parallel surface problem for semilinear equations driven by the fractional Laplacian. We prove a quantitative stability result that…