Passage of wide-band nonlinear signals through a randomly inhomogeneous medium (Q1411945)

We analyze, both theoretically and numerically, the fine pointwise limiting behavior of the positive solutions of a general class of sublinear elliptic boundary value problems as a measuring amplitude parameter in front of a changing sign Schrödinger potential grows to infinity. Our results might have a number of applications in several branches of social and applied sciences and engineering. For example, as an immediate consequence from the main theorem of this paper, it is apparent that combining competition with strategic partial symbiosis provides an extremely good mechanism to avoid extinction of species, as, at the end of the day, it entails an unlimited productivity within the strategic symbiosis region. Consequently, our mathematical analysis might deserve a certain amount of attention in economics and ecology.