2 papers
math.AP2024
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}ϕ(…
math.AP2024
Elliptic -Laplacian systems with nonlinear boundary condition
Franziska Borer, Siegfried Carl, Patrick Winkert
In this paper we study quasilinear elliptic systems given by \begin{equation*} \begin{aligned} -Δ_{p_1}u_1 & =-|u_1|^{p_1-2}u_1 \quad && \text{in } Ω,\newline -Δ_{p_2}u_2 & =-|u_2|…