4 papers
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…
On asymptotic behavior for a class of diffusion equations involving the fractional Laplacian as goes to
Lauren Maria Mezzomo Bonaldo, Elard Juarez Hurtado
In this manuscript, we will study the asymptotic behavior for a class of nonlocal diffusion equations associated with the weighted fractional Laplacian operator involv…
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…
A class of elliptic equations involving a general nonlocal integrodifferential operators with sign-changing weight functions
Lauren Maria Mezzomo Bonaldo, Olmpio Hiroshi Miyagaki, Elard Jurez Hurtado
In this paper, we investigate the existence of nontrivial weak solutions to a class of elliptic equations () involving a general nonlocal integrodifferential operator…