Asymptotic behaviour of solutions of elliptic equations with critical exponents and Neumann boundary conditions
Chris J. Budd, M.C. Knaap, Lambertus A. Peletier · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1991
Synopsis Asymptotic estimates are established for nontrivial positive radial eigenfunctions of the nonlinear eigenvalue problem −Δu= λ(up−uq) in the unit ballBin ℝN(N> 2) with Neumann boundary conditions, as the supremum norm tends to infinity. Herepis the critical Sobolev exponent (N+ 2)/(N− 2) and 0 <q