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Principal eigenvalues for time changed processes of one-dimensional α-stable processes

Shiozawa Y.

Probability and Mathematical Statistics

2004

Vol. 24, Fasc. 2

355--366

In this paper, we calculate the principal eigenvalues for time changed processes of Brownian motions and symmetric α-stable processes in one dimension.

Existence and uniqueness of positive solution of a semilinear elliptic equation in Rn

Djellit A., Benouhiba N.

Demonstratio Mathematica

2002

Vol. 35, nr 1

61-73

We study here semilinear elliptic indefinite-weight problems defined in Rn, n > 3. We show that under some conditions, these problems have exactly one positive solution.