Estimates on the spectral interval of validity of the anti-maximum principle

Vladimir Bobkov, Pavel Drabek, Yavdat Il'yasov

The anti-maximum principle for the homogeneous Dirichlet problem to $-{\Delta }_{p}u=\lambda |u{|}^{p-2}u+f(x)$ with positive $f\in L^{\infty }(\Omega )$ states the existence of a critical value $λ_f >…