ï¿½ 2016 American Mathematical Society. In this note we consider the stationary Kirchhoff equation (eqution found) where M is a continuous positive function and ‖ï¿½‖ is the standard norm in H10(Ω). We show that the equation does not enjoy the usual comparison principles (both weak or strong) nor the sub and supersolutions method.
Garcï¿½a-Meliï¿½n, J., & Iturriaga, L. (2016). Some counterexamples related to the stationary Kirchhoff equation. Proceedings of the American Mathematical Society, 3405-3411. https://doi.org/10.1090/proc/12971