Elliptic problem in an exterior domain driven by a singularity with a nonlocal Neumann condition.

We prove the existence of ground state solution to the following problem. \begin{align*} (-\Delta)^{s}u+u&=\lambda|u|^{-\gamma-1}u+P(x)|u|^{p-1}u,~\text{in}~\mathbb{R}^N\setminus\Omega\\ N_su(x)&=0,~\text{in}~\Omega \end{align*} where $N\geq2$, $\lambda>0$, $0

Keywords:

• Neumann boundary condition
• Omega
• Laplace operator
• Combinatorics
• Ground state
• Physics
• Singularity

• Correction
• Source
• Cite
• Save
• Machine Reading By IdeaReader