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Geometric Approach to the Bifurcation at Infinity: A Case Study
In this paper, the reaction-diffusion equation in space 1D with negative power nonlinearity is presented as an example the stationary solutions of...
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The Infinity Laplacian Eigenvalue Problem: Reformulation and a Numerical Scheme
In this work, we present an alternative formulation of the higher eigenvalue problem associated to the infinity Laplacian, which opens the door for...
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Quasiperiodic Sets at Infinity and Meromorphic Extensions of Their Fractal Zeta Functions
We construct an interesting family of unbounded sets at infinity having a quasiperiodic structure in their geometry. We study these sets by analyzing...
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Uniqueness of the Reissner-Nordström metric near the null infinity
In the Newman-Penrose formalism, we prove that the Reissner-Nordström metric is the only asymptotically flat, static, axially symmetric, Petrov...
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Solutions of Difference Equations Almost Periodic at Infinity
We consider a new class of functions almost periodic at infinity defined by using the subspace of functions that integrally decrease at infinity. We...
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Constructible sheaves and functions up to infinity
We introduce the category of b-analytic manifolds, a natural tool to define constructible sheaves and functions up to infinity. We study with some...
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Classification of real algebraic curves under blow-spherical homeomorphisms at infinity
In this article, we present a complete classification, with normal forms, of the real algebraic curves under blow-spherical homeomorphisms at...
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On Distributions That Are Almost Periodic at Infinity
This paper is devoted to the study of slowly varying and almost periodic at infinity distributions from harmonic spaces; a number of spaces of...
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No semistability at infinity for Calabi-Yau metrics asymptotic to cones
We discover a “no semistability at infinity” phenomenon for complete Calabi-Yau metrics asymptotic to cones, which is proved by eliminating the...
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Global Bifurcation from Infinity in Some Nonlinear Sturm-Liouville Problems
We study the bifurcation of solutions from infinity of Sturm–Liouville eigenvalue problems with a spectral parameter in the boundary condition. These...
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Reversibility at infinity and rigidity of Finsler manifolds without conjugate points
The reversibility of asymptotic classes of geodesics in the universal covering of a Riemannian visibility manifold is a consequence of the...
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On Some Properties of Functions Almost Periodic at Infinity from Homogeneous Spaces
In this paper, we consider homogeneous spaces of functions defined on the whole real axis with values in a complex Banach space. A new class of...
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Infinity Laplacian equations with singular absorptions
In this work, we study regularity properties for nonvariational singular elliptic equations ruled by the infinity Laplacian. We obtain optimal
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On a two-phase free boundary problem ruled by the infinity Laplacian
In this paper we consider a two-phase free boundary problem ruled by the infinity Laplacian. Our main result states that bounded viscosity solutions...
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On the Cauchy Problem for a One-Dimensional Conservation Law with Initial Conditions Coinciding with a Power or Exponential Function at Infinity
AbstractFor a first-order quasilinear equation with a power-law flux function, generalized entropy solutions of the Cauchy problems are constructed...
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Diffeological principal bundles and principal infinity bundles
In this paper, we study diffeological spaces as certain kinds of discrete simplicial presheaves on the site of cartesian spaces with the coverage of...
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The Integral Manifolds of the 4 Body Problem with Equal Masses: Bifurcations at Infinity
In the N-body problem, it is classical that there are conserved quantities of center of mass, linear momentum, angular momentum and energy. The level...
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Asymptotic strictly pseudoconvex CR structure for asymptotically locally complex hyperbolic manifolds
In this paper, we build a compactification by a strictly pseudoconvex CR structure for a complete and non-compact Kähler manifold whose curvature...
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Canonical Identification at Infinity for Ricci-Flat Manifolds
We give a natural way to identify between two scales, potentially arbitrarily far apart, in a non-compact Ricci-flat manifold with Euclidean volume...