10 citations · 23 across the 28 of their papers we have counts for
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The Choquard logarithmic equation involving fractional Laplacian operator and a nonlinearity with exponential critical growth
Eduardo de Souza Böer, Olímpio H. Miyagaki
In the present work we investigate the existence and multiplicity of nontrivial solutions for the Choquard Logarithmic equation $(-Δ)^{\frac{1}{2}} u + au + λ(\ln|\cdot|\ast |u|^{2…
The Choquard logarithmic equation involving a nonlinearity with exponential growth
Eduardo de Souza Böer, Olímpio Hiroshi Miyagaki
In the present work we are concerned with the Choquard Logarithmic equation in , for , and a nonlinearit…
Fractional elliptic systems with critical nonlinearities
Mousomi Bhakta, Souptik Chakraborty, Olimpio H. Miyagaki +1
In this paper we study positive solutions to the following nonlocal system of equations: \begin{equation*} \left\{\begin{aligned} &(-Δ)^s u = \fracα{2_s^*}|u|^{α-2}u|v|^β+f(x)\;\;\…
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…
Multiplicity results for elliptic problems involving nonlocal integrodifferential operators without Ambrosetti-Rabinowitz condition
Lauren Maria Mezzomo Bonaldo, Olimpio Hiroshi Miyagaki, Elard Juarez Hurtado
In this paper, we study the existence and multiplicity of weak solutions for a general class of elliptic equations (\mathscr{P}_λ) in a smooth bounded domain, driven by a nonlocal…