On subhomogeneous indefinite $p$-Laplace equations in supercritical spectral interval

Vladimir Bobkov, Mieko Tanaka

We study the existence, multiplicity, and certain qualitative properties of solutions to the zero Dirichlet problem for the equation $-{\Delta }_{p}u=\lambda |u{|}^{p-2}u+a(x)|u{|}^{q-2}u$ in a bo…