On the antimaximum principle for the $p$-Laplacian and its sublinear perturbations

Vladimir Bobkov, Mieko Tanaka

We investigate qualitative properties of weak solutions of the Dirichlet problem for the equation $-{\Delta }_{p}u=\lambda m(x)|u{|}^{p-2}u+\eta a(x)|u{|}^{q-2}u+f(x)$ in a bounded domain $Ω\subset…