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math.AP2025

Degenerate Kirchhoff problems with nonlinear Neumann boundary condition

Franziska Borer, Marcos T. O. Pimenta, Patrick Winkert

In this paper we consider degenerate Kirchhoff-type equations of the form \[-ϕ(Ξ(u)) \left(\mathcal{A}(u)-|u|^{p-2}u\right) = f(x,u)\quad \text{in } Ω,\] \[\phantom{aaiaaaaaaaaa…