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math.AP2023★ 4 cited
On a Sobolev-type inequality and its minimizers
José Francisco de Oliveira, Jeferson Silva
Critical Sobolev-type inequality for a class of weighted Sobolev spaces on the entire space is established. We also investigate the existence of extremal function for the associate…
math.AP2019
A fractional p-Laplacian problem with multiple critical Hardy-Sobolev nonlinearities
Ronaldo B. Assunção, Olímpio H. Miyagaki, Jeferson C. Silva
In this work, we study the existence of weak solution to the following quasi linear elliptic problem involving the fractional -Laplacian operator, a Hardy potential and multiple…