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math.AP2018
Local behaviour and existence of solutions of the fractional (p,q)-Laplacian
Emerson Abreu, A. H. Souza Medeiros
In this paper, we consider the regularity of weak solutions (in an appropriate space) to the elliptic partial differential equation \begin{equation*} (-Δ_{p})^{s} u + (-Δ_{q})^{s}…
math.AP2018
On a weighted Trudinger-Moser inequality in
Emerson Abreu, Leandro G. Fernandes
We establish the Trudinger-Moser inequality on weighted Sobolev spaces in the whole space, and for a class of quasilinear elliptic operators in radial form of the type $\displaysty…