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20152024
most citedChoquard logarithmic equation involving a nonlinearity with exponential critical growth: existence and multiplicity

4 citations · 12 across the 14 of their papers we have counts for

collaborators

20 papers

math.AP20211 cited

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…

math.AP20214 cited

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{…

math.AP20212 cited

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+…

math.AP2021

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…

math.AP2021

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…

math.AP20211 cited

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…