32 citations · 73 across the 15 of their papers we have counts for
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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…
On the limiting problems for two eigenvalue systems and variations
Hamilton P Bueno, Aldo H S Medeiros
Let be a bounded, smooth domain. Supposing that , and $\displaystyle\lim_{p \to \infty} α(p)/{p} = θ\in (0,1)…
Existence of nonnegative solutions for fractional Schrödinger equations with Neumann condition
Hamilton Bueno, Aldo H. S. Medeiros
In this paper we study a Neumann problem for the fractional Laplacian, namely \begin{equation}\left\{ \begin{array}{rcll} \varepsilon^{2s}(- Δ)^{s}u + u &=& f(u) \ \ &\mbox{in} \ \…
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…
Torsion functions and the Cheeger problem: a fractional approach
Hamilton Bueno, Grey Ercole, Shirley S. Macedo +1
Let be a Lipschitz bounded domain of , . The fractional Cheeger constant , , is defined by \[h_s(Ω)=\inf_{E\subsetΩ}\frac{P_s(E)}{|E|},\:…
Critical fractional elliptic equations with exponential growth without Ambrosetti-Rabinowitz type condition
Hamilton Bueno, Eduardo Huerto Caqui, Olimpio Miyagaki
In this paper we establish, using variational methods combined with the Moser-Trudinger inequality, existence and multiplicity of weak solutions for a class of critical fractional…