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math.AP2025
Non existence of solutions for a slightly super-critical elliptic problem with non-power nonlinearity
Mohamed Ben Ayed, Habib Fourti
In this paper, we are concerned with the following elliptic equation $$ ( SC_\varepsilon ) \qquad \begin{cases} -Îu = |u|^{4/(n-2)}u [\ln (e+|u|)]^\varepsilon & \hbox{ in } Ω,\\…
math.AP2024
Sharp boundary concentration for a two-dimensional nonlinear Neumann problem
Francesca De Marchis, Habib Fourti, Isabella Ianni
We consider the elliptic equation in a bounded, smooth domain subject to the nonlinear Neumann boundary condition $\partial u/\partialν= |u|^{…