10 citations · 54 across the 45 of their papers we have counts for
8 papers · 1 filter
Fractional Sobolev-Choquard critical systems with Hardy term and weighted singularities
Ronaldo B. Assunção, Olímpio H. Miyagaki, Rafaella F. S. Siqueira
In this paper, we consider a fractional p-Laplacian system of equations in the entire space RN with doubly critical singular nonlinearities involving a local critical Sobolev term…
Nonexistence results for a degenerate Goursat type Problem
Carlos Alberto Reyes Peña, Olimpio Hiroshi Miyagaki, Rodrigo da Silva Rodrigues
For a generalization of the Gellerstedt operator with Dirichlet boundary conditions in a Tricomi domain. We establish Pohožaev-type identities and prove the nonexistence of nontriv…
Fractional p-Kirchhoff equation with Sobolev and Choquard singular nonlinearities
Ronaldo Brasileiro Assunção, Olímpio Hiroshi Miyagaki, Rafaella Ferreira dos Santos Siqueira
In the present work, we consider a fractional p-Kirchhoff equation in the entire space R^N featuring doubly nonlinearities, involving a generalized nonlocal Choquard subcritical te…
Normalized solutions to polyharmonic equations with Hardy-type potentials and exponential critical nonlinearities
Bartosz Bieganowski, Olímpio Hiroshi Miyagaki, Jacopo Schino
Via a constrained minimization, we find a solution to the problem \begin{equation*} \begin{cases} (-Δ)^m u+\fracμ{|x|^{2m}}u + λu = ηu^3 + g(u)\\ \int_{\mathbb{R}^{2m}} u^2…
Peridynamics and Anisotropic Fractional Sobolev Spaces with Variable Exponents
Sabri Bahrouni, Julian Fernandez Bonder, Ignacio Ceresa Dussel +1
In this paper, our primary objective is to develop the peridynamic fractional Sobolev space and establish novel BBM-type results associated with it. We also address the peridynamic…
On a fractional harmonic oscillator: existence and inexistence of solution, regularity and decay properties
Hamilton P. Bueno, Aldo H. S. Medeiros, Olimpio H. Miyagaki +1
Under simple hypotheses on the nonlinearity , we consider the fractional harmonic operator problem \begin{equation}\label{abstr}\sqrt{-Δ+|x|^2}\,u=f(x,u)\ \ \textrm{in }\ \mathb…
Normalized solutions for INLS equation with critical Hardy-Sobolev type nonlinearities
Mykael Cardoso, José Francisco de Oliveira, Olímpio Miyagaki
We are interested in finding prescribed -norm solutions to inhomogeneous nonlinear Schrödinger (INLS) equations. For we treat the equation with combined Hardy-Sobolev…
A Liouville-type theorem for the coupled Schrödinger systems and the uniqueness of the sign-changing radial solutions
Haoyu Li, Olímpio Hiroshi Miyagaki
In this paper, we study the sign-changing radial solutions of the following coupled Schrödinger system \begin{equation} \left\{ \begin{array}{lr} -Δu_j+λ_j u_j=μ_j u_j^3+\sum_{i\ne…