Harmonic functions, defined as twice continuously differentiable functions satisfying Laplace’s equation, have long been a subject of intense study in both pure and applied mathematics. Their ...

This is a preview. Log in through your library . Abstract Given a multi-dimensional Itô process whose drift and diffusion terms are adapted processes, we construct a weak solution to a stochastic ...

We study the existence of positive solutions of the equation u״ (t) + a (t) f (u(g(t))) = 0, 0 < t < 1 with linear boundary conditions. We show the existence of at least one positive solution if f is ...