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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{…
Existence and multiplicity of solutions for the fractional -Laplacian Choquard logarithmic equation involving a nonlinearity with exponential critical and subcritical growth
Eduardo de Souza Böer, Olímpio Hiroshi Miyagaki
In the present work we obtain the existence and multiplicity of nontrivial solutions for the Choquard logarithmic equation $(-Δ)_{p}^{s}u + |u|^{p-2}u + (\ln|\cdot|\ast |u|^{p})|u|…
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…