Existence of Decaying Entire Solutions of a Class of Semilinear Elliptic Equations
Existence of Decaying Entire Solutions of a Class of Semilinear Elliptic Equations
The main result establishes the existence of a nontrivial nonnegative radial solution u e Cfoc{TlN) of a semilinear elliptic eigenvalue problem in KN, N > 3, such that u(\x\) has uniform limit zero as |x| -► oo.Asymptotic decay estimates and necessary conditions are obtained.Since such solutions do not exist in …