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Semilinear Elliptic Problems with Pairs of Decaying Positive Solutions

Semilinear Elliptic Problems with Pairs of Decaying Positive Solutions

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 ⊂ R N , N ≧ 2, where λ is a positive parameter and L is a uniformly elliptic operator …