10 citations · 54 across the 45 of their papers we have counts for
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Existence of normalized solutions for the planar Schrödinger-Poisson system with exponential critical nonlinearity
Claudianor O. Alves, Eduardo de S. Boër, Olímpio H. Miyagaki
In the present work we are concerned with the existence of normalized solutions to the following Schrödinger-Poisson System $$ \left\{ \begin{array}{ll} -Δu + λu + μ(\ln|\cdot|\ast…
Choquard logarithmic equation involving a nonlinearity with exponential critical growth: existence and multiplicity
Eduardo de Souza Böer, Olímpio Hiroshi Miyagaki
The present work is concerned with the following version of Choquard Logarithmic equations $ -Δ_p u -Δ_N u + a|u|^{p-2}u + b|u|^{N-2}u + λ(\ln|\cdot|\ast G(u))g(u) = f(u) \textrm{…
Multiplicity of normalized solutions for a Schrödinger equation with critical growth in
Claudianor O. Alves, Chao Ji, Olimpio H. Miyagaki
In this paper we study the multiplicity of normalized solutions to the following nonlinear Schrödinger equation with critical growth \begin{align*} \left\{ \begin{aligned} &-Δu=λu+…
On the existence and multiplicity of solutions for the -Choquard logarithmic equation with exponential critical growth
Eduardo de Souza Böer, Olímpio Hiroshi Miyagaki
In the present work we briefly explain how to adapt techniques already used in fractional and -fractional Laplacian cases to obtain the existence of a nontrivial solution at the…
Multiplicity of solutions for a scalar field equation involving a fractional -Laplacian with general nonlinearity
Hamilton Bueno, Olimpio Miyagaki, Ailton Vieira
We investigate the existence of infinitely many radially symmetric solutions to the following problem $$(-Δ_p)^s u=g(u) \ \ \textrm{ in } \ \ \mathbb{R}^N, \ \ u\in W^{s,p}(\mathbb…
Normalized solutions for a Schrödinger equation with critical growth in
Claudianor O. Alves, Chao Ji, Olimpio H. Miyagaki
In this paper we study the existence of normalized solutions to the following nonlinear Schrödinger equation with critical growth \begin{align*} \left\{ \begin{aligned} &-Δu=λu+f(u…