We prove a large deviation result for the growth rate of the support of the -dimensional (strictly dyadic) branching Brownian motion and the -dimensional (supercritical) super-Brownian motion . We show that the probability that () remains in a smaller than typical ball up to time is...

In this paper we give two existence theorems for a class of elliptic problems in an Orlicz-Sobolev space setting concerning both the sublinear and the superlinear case with Neumann boundary conditions. We use the classical critical point theory with the Cerami (PS)-condition

An alternative expression of the conditional influence measure to detect the influence for the one subset after deleting the other subset is proposed. The alternative expression consists of vectors and matrices based on the individual influence measures to calculate the conditional influence....

The goal of the paper is to present a new method (similar to phase-integral method) for finding approximation of the eigenfunctions and eigenvalues of the one-dimensional Schrödinger operator with asymmetric triple-well potential

New reverses of the Schwarz, triangle and Bessel inequalities in inner product spaces are pointed out. These results complement the recent ones obtained by the author in the earlier paper [13]. Further, they are emploied to establish new Grüss type inequalities. Finally, some natural integral...

Refinements of some recent reverse inequalities for the celebrated Cauchy-Bunyakovsky-Schwarz inequality in 2—inner product spaces are given. Using this framework, applications for determinantal integral inequalities are also provided