Born-Infeld theory admits finite energy point particle solutions with δ-function sources, Blons.
I discuss their role in the theory of Dirichlet p-branes as the ends of strings intersecting the …

In this paper we establish new Calabi–Bernstein results for maximal surfaces immersed into
a Lorentzian product space of the form M2× R1, where M2 is a connected Riemannian …

We introduce a new approach to the local study of maximal surfaces in Lorentz–Minkowski
space, based on a complex representation formula for this kind of surfaces. As an …

We study the global behaviour of Gaussian curvature K and normal curvature K⊥ of zero
mean curvature spacelike surfaces (stationary surfaces) in a four-dimensional Lorentzian …

In this paper, a new approach to the Calabi–Bernstein theorem on maximal surfaces in the
Lorentz–Minkowski space L3 is introduced. The approach is based on an upper bound for …

Concerning the value distribution problem for generalized Gauss maps, we not only
generalize Fujimoto's theorem (J Math Soc Jpn 40: 235–247, 1988) to complete space-like …

There is a few results about the global stability of nontrivial solutions to quasilinear wave
equations. In this paper we are concerned with the uniqueness and stability of traveling …

The main goal of this paper is to reveal the geometric meaning of the maximal number of
exceptional values of Gauss maps for several classes of immersed surfaces in space forms …

In this paper, we extend and solve the Björling-type problem for spacelike, zero mean
curvature surfaces in the Lorentz–Minkowski four-dimensional space L4. As an application …

For spacelike stationary (ie zero mean curvature) surfaces in 4-dimensional Lorentz space,
one can naturally introduce two Gauss maps and a Weierstrass-type representation. In this …