This work is concerned about the existence of solutions to the nonlocal semilinear problem - N J (x - y) (u (y) - u (x)) y + h (u (x)) = f (x) x ω u = g x N ω, (-) R N J(x-y)(u(y)-u(x%)), dy+h (u(x)) = f(x),& ω u=g, x R N ...

We consider the singularly perturbed Neumann problem epsilon(2)Delta u - u + up = 0, u > 0 in Omega, partial derivative u/partial derivative v = 0 on partial derivative Omega, where p > 1 and Omega is a smooth and bounded ...

We consider the boundary value problem Delta u + u(P) = 0 in a bounded, smooth domain Omega in R-2 with homogeneous Dirichlet boundary condition and p a large exponent. We find topological conditions on Omega which ensure ...

The purpose of this paper is to study boundary blow up solutions for semi-linear fractional elliptic equations of the form {(-Delta)(alpha)u(x) + vertical bar u vertical bar(p-1)u(x) = f(x), x is an element of Omega, ...

We consider the following stationary Keller-Segel system from chemotaxis

We consider the following singularly perturbed Neumann problem