We present two results on global continuation of monotone front-type solutions to elliptic
PDEs posed on infinite cylinders. This is done under quite general assumptions, and in …

To make progress toward better computability of Morse–Floer homology and thus enhance
the applicability of Floer theory, it is essential to have tools to determine the relative index of …

We consider a broad class of systems of nonlinear integro-differential equations posed on
the real line that arise as Euler–Lagrange equations to energies involving nonlinear …

To make progress towards better computability of Morse-Floer homology, and thus enhance
the applicability of Floer theory, it is essential to have tools to determine the relative index of …

In this paper, we study travelling front solutions for nonlocal equations of the type∂ tu= N∗ S
(u)+∇ F (u), u (t, x)∈ R d. Here, N∗ denotes a convolution-type operator in the spatial …

Most natural phenomena can be described in terms of how various physical quantities
change with time. For example, Verhulst's law of logistic growth states that the rate of change …