Abstract multiplicity results for $(p,q)$-Laplace equations with two parameters

Vladimir Bobkov, Mieko Tanaka

We investigate the existence and multiplicity of abstract weak solutions of the equation $-{\Delta }_{p}u-{\Delta }_{q}u=\alpha |u{|}^{p-2}u+\beta |u{|}^{q-2}u$ in a bounded domain under zero Dirichlet boundary…