A nonlinear Neumann problem with singular coefficients. (English) Zbl 0921.35061
Summary: We study the equation \(-\Delta u+\lambda u=| x|^{-\alpha} | u|^{p-2}u\) with Neumann boundary conditions in a bounded domain \(\Omega\). We prove the existence of a positive solution under some geometrical assumption on the boundary \(\partial\Omega\).
MSC:
35J65 | Nonlinear boundary value problems for linear elliptic equations |