Elliptic problems with mixed nonlinearities and potentials singular at the origin and at the boundary of the domain
Elliptic problems with mixed nonlinearities and potentials singular at the origin and at the boundary of the domain
Abstract We are interested in the following Dirichlet problem: $$\begin{aligned} \left\{ \begin{array}{ll} -\Delta u + \lambda u - \mu \frac{u}{|x|^2} - \nu \frac{u}{\textrm{dist}(x,\mathbb {R}^N \setminus \Omega )^2} = f(x,u) &{} \quad \text{ in } \Omega \\ u = 0 &{} \quad \text{ on } \partial \Omega , \end{array} \right. \end{aligned}$$ …