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math.AP2022
Bifurcation results for nonlinear eigenvalue problems involving the (p,q)-Laplace operator
Emmanuel Wend-Benedo Zongo, Bernhard Ruf
In this paper, we analyze an eigenvalue problem for nonlinear elliptic operators involving homogeneous Dirichlet boundary conditions in a open smooth bounded domain. We prove bifur…
math.AP2022
Bifurcation into spectral gaps for strongly indefinite Choquard equations
Huxiao Luo, Bernhard Ruf, Cristina Tarsi
We consider the semilinear elliptic equations $$ \left\{ \begin{array}{ll} &-Δu+V(x)u=\left(I_α\ast |u|^p\right)|u|^{p-2}u+λu\quad \hbox{for } x\in\mathbb R^N, \\ &u(x) \to 0 \hbox…