On the spectrum of some linear noncooperative elliptic systems with radial symmetry (Q1343194)

The paper is concerned with the spectrum of a weakly coupled noncooperative elliptic system in \(\mathbb{R}^N\) with homogeneous Dirichlet boundary conditions. The main result is that zero is not an eigenvalue on \(W^{2, p}(D)\) for \(p> N/2\). The result is applicable to the classical Lotka-Volterra predator-prey model. The novelties here are: arbitrary dimension \(N\) and variable coefficients.