10 citations · 54 across the 45 of their papers we have counts for
8 papers · 1 filter
Concentration phenomena for fractional elliptic equations involving exponential critical growth
Claudianor O. Alves, João Marcos do Ó, Olímpio H. Miyagaki
In this paper, we deal with the following singular perturbed fractional elliptic problem $ ε^{} (-Δ)^{1/2}{u}+V(z)u=f(u)\,\,\, \mbox{in} \,\,\, \mathbb{R}, $ where i…
Existence result for a class of quasilinear elliptic equations with (p-q)-laplacian and vanishing potentials
M. J. Alves, R. B. Assunção, O. H. Miyagaki
The main purpose of this paper is to establish the existence of positive solutions to a class of quasilinear elliptic equations involving the (p-q)-Laplacian operator. We consider…
The Brezis-Nirenberg problem for nonlocal systems
Luiz Faria, Olimpio Miyagaki, Fabio Pereira +2
By means of variational methods we investigate existence, non-existence as well as regularity of weak solutions for a system of nonlocal equations involving the fractional laplacia…
Existence and concentration of solution for a class of fractional elliptic equation in via penalization method
Claudianor O. Alves, Olimpio H. Miyagaki
In this paper, we study the existence and concentration of positive solution for the following class of fractional elliptic equation $$ ε^{2s} (-Δ)^{s}{u}+V(z)u=f(u)\,\,\, \mbox{in…
Existence and multiplicity results on a class of quasilinear elliptic problems with cylindrical singularities involving multiple critical exponents
Ronaldo B. Assunção, Weler W. dos Santos, Olímpio H. Miyagaki
This work deals with the existence of at least two positive solutions for the class of quasilinear elliptic equations with cylindrical singularities and multiple critical nonlinear…
Quasilinear elliptic problems with cylindrical singularities and multiple critical nonlinearities: existence, regularity, nonexistence
Ronaldo B. Assunção, Weler W. dos Santos, Olímpio H. Miyagaki
This work deals with existence of solutions for the class of quasilinear elliptic problems with cylindrical singularities and multiple critical nonlinearities that can be written i…
A critical nonlinear fractional elliptic equation with saddle-like potentical in
Claudianor O. Alves, Olimpio H. Miyagaki
In this paper, we study the existence of positive solution for the following class of fractional elliptic equation $$ ε^{2s} (-Δ)^{s}{u}+V(z)u=λ|u|^{q-2}u+|u|^{2^{*}_{s}-2}u\,\,\,…
Ground states of nonlocal scalar field equations with Trudinger-Moser critical nonlinearity
João Marcos do Ó, Olímpio H. Miyagaki, Marco Squassina
We investigate the existence of ground state solutions for a class of nonlinear scalar field equations defined on whole real line, involving a fractional Laplacian and nonlineariti…