582 citations · 1.8k across the 125 of their papers we have counts for
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An existence theory for nonlinear superposition operators of mixed fractional order
Serena Dipierro, Kanishka Perera, Caterina Sportelli +1
We establish the existence of multiple solutions for a nonlinear problem of critical type. The problem considered is fractional in nature, since it is obtained by the superposition…
An existence theory for superposition operators of mixed order subject to jumping nonlinearities
Serena Dipierro, Kanishka Perera, Caterina Sportelli +1
We consider a superposition operator of the form for a signed measure on the interval of fractional exponents , joined to a nonlinea…
Quantitative stability for the nonlocal overdetermined Serrin problem
Serena Dipierro, Giorgio Poggesi, Jack Thompson +1
We establish quantitative stability for the nonlocal Serrin overdetermined problem, via the method of the moving planes. Interestingly, our stability estimate is even better than t…
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…
A strict maximum principle for nonlocal minimal surfaces
Serena Dipierro, Ovidiu Savin, Enrico Valdinoci
In the setting of fractional minimal surfaces, we prove that if two nonlocal minimal sets are one included in the other and share a common boundary point, then they must necessaril…
A fractional Hopf Lemma for sign-changing solutions
Serena Dipierro, Nicola Soave, Enrico Valdinoci
In this paper we prove some results on the boundary behavior of solutions to fractional elliptic problems. Firstly, we establish a Hopf Lemma for solutions to some integro-differen…