Semilinear Elliptic Problems with Pairs of Decaying Positive Solutions
Ezzat S. Noussair, Charles A. Swanson · Canadian Journal of Mathematics · 1987
Our main objective is to prove the existence of a pair of positive, exponentially decaying, classical solutions of the semilinear elliptic eigenvalue problem 1.1 in a smooth unbounded domain Ω ⊂ RN, N ≧ 2, where λ is a positive parameter and L is a uniformly elliptic operator in Ω defined by