Ground states for critical semilinear scalar field equations
Ground states for critical semilinear scalar field equations
The existence of ground states u E LT+ 1 (RN) and asymptotic decay estimates for u(x) as lxloo are obtained for semilinear scalar field equations involving the critical Sobolev exponent T = (N + 2)/(N-2), N ~ 3.In particular sufficient conditions are given for u(x) = O(lxi 2 -N) as …