2 papers
math.AP2022
On a study and applications of the Concentration-compactness type principle for Systems with critical terms in
L. M. M. Bonaldo, E. J. Hurtado, W. Neves
In this paper, we obtain some important variants of the Lions and Chabrowski Concentration-compactness principle, in the context of fractional Sobolev spaces with variable exponent…
math.AP2020
Multiplicity results for elliptic problems involving nonlocal integrodifferential operators without Ambrosetti-Rabinowitz condition
Lauren Maria Mezzomo Bonaldo, Olimpio Hiroshi Miyagaki, Elard Juarez Hurtado
In this paper, we study the existence and multiplicity of weak solutions for a general class of elliptic equations (\mathscr{P}_λ) in a smooth bounded domain, driven by a nonlocal…