Semilinear elliptic problems with nonlinear boundary conditions
Michel Marie Chipot, Mythily Ramaswamy · Zurich Open Repository and Archive (University of Zurich) · 1998
A semilinear elliptic problem with mixed boundary conditions, nonlinear Neumann on one part and homogeneous Dirichlet on the rest of the boundary is considered in a bounded domain Ω⊂ℝ N , N≥2. Depending on the interaction of the two nonlinearities, a nonexistence theorem and some existence theorems for positive solutions are obtained using variational methods.