32 citations · 73 across the 15 of their papers we have counts for
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math.AP2020★ 4 cited
Torsion functions and the Cheeger problem: a fractional approach
Hamilton Bueno, Grey Ercole, Shirley S. Macedo +1
Let be a Lipschitz bounded domain of , . The fractional Cheeger constant , , is defined by \[h_s(Ω)=\inf_{E\subsetΩ}\frac{P_s(E)}{|E|},\:…
math.AP2020
Critical fractional elliptic equations with exponential growth without Ambrosetti-Rabinowitz type condition
Hamilton Bueno, Eduardo Huerto Caqui, Olimpio Miyagaki
In this paper we establish, using variational methods combined with the Moser-Trudinger inequality, existence and multiplicity of weak solutions for a class of critical fractional…
math.AP2020★ 4 cited
Critical concave convex Ambrosetti-Prodi type problem for fractional -Laplacian
Hamilton Bueno, Eduardo Huerto Caqui, Olimpio Miyagaki +1
In this paper we consider a class of critical concave convex Ambrosetti-Prodi type problems for the fractional -Laplacian operator. By applying the Linking Theorem and the Mount…