From the 1 of 9 linked papers with an AI index.
9 papers
A nonlocal elliptic problem on a Heisenberg group
Debajyoti Choudhuri, Lamine Mbarki, Olimpio Hiroshi Miyagaki
The paper investigates a nonlocal elliptic equation on the Heisenberg group with a source term given by a Radon measure, proving existence of weak solutions using a weak convergenc…
Existence of solutions for elliptic problems involving the -Laplacian operator and a discontinuous superlinear nonlinearity
Marcos A. V. Costa, OlÃmpio H. Miyagaki, Marcos T. O. Pimenta
In this paper, we study a class of quasilinear elliptic problems involving the Laplacian operator and a discontinuous superlinear nonlinearity governed by the Heaviside fun…
Normalized solutions to polyharmonic equations with Hardy-type potentials and exponential critical nonlinearities
Bartosz Bieganowski, OlÃmpio Hiroshi Miyagaki, Jacopo Schino
Via a constrained minimization, we find a solution to the problem \begin{equation*} \begin{cases} (-Î)^m u+\fracμ{|x|^{2m}}u + λu = ηu^3 + g(u)\\ \int_{\mathbb{R}^{2m}…
On compact embeddings in and fractional spaces
Hamilton Bueno, Aldo Medeiro, Olimpio Miyagaki +1
The study of the fractional Laplacian operator in with Dirichlet boundary conditions gained enormous momentum through its identification with a Neumann ope…
Global bifurcations of nodal solutions for coupled elliptic equations
Haoyu Li, OlÃmpio Hiroshi Miyagaki, Zhi-Qiang Wang
We investigate the global bifurcation structure of the radial nodal solutions to the coupled elliptic equations \begin{equation} \left\{ \begin{array}{lr} -Îu+u=u^3+βuv^2\mbox{ i…
Multiple nodal solutions of planar Stein-Weiss equations
Eudes M. Barboza, Eduardo De S. Böer, OlÃmpio H. Miyagaki +1
In this paper, our goal is to investigate the existence of multiple nodal solutions to a class of planar Stein-Weiss problems involving a nonlinearity with subcritical or criti…