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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|^{p-1…
math.AP2024
New solutions for the Lane-Emden problem on planar domains
Luca Battaglia, Isabella Ianni, Angela Pistoia
We consider the Lane-Emden problem on planar domains. When the exponent is large, the existence and multiplicity of solutions strongly depend on the geometric properties of the dom…