4 citations · 5 across the 20 of their papers we have counts for
22 papers
Sequential exponential-motivic periods in spatially cut-off
Juan Carlos Sampedro
We represent constructive integrals in spatially cut-off by sequences of exponential-motivic periods. For a nonzero spatial cutoff, a single Galois transformation makes the…
Bifurcation and global continuation of travelling-rotating Schrödinger maps on the sphere
Juan Carlos Sampedro, Luis Vega
We study travelling-rotating solutions of the Schrödinger map equation into the sphere, viewed as tangent profiles of rigid vortex filaments. Two first integrals reduce the profile…
Note on infinite-dimensional -spaces
Daniel L. Rodríguez-Vidanes, Juan Carlos Sampedro
We prove that, for every , the -space of Baker's measure on is isometrically isomorphic to in ZFC…
Distributional embeddings of the first limit Bourgain-Rosenthal-Schechtman space
Juan Carlos Sampedro
We classify the distributional self-embeddings of the centered first limit Bourgain-Rosenthal-Schechtman space , . Using a Boolean rigidity principle for its…
A bifurcation theory approach to the nonlocal Kuramoto-Sivashinsky equation
Pablo Cubillos, Rafael Granero-Belinchón, Juan Carlos Sampedro
We study the nonlocal Kuramoto-Sivashinsky equation on the one-dimensional torus, \[ u_t+u u_x=Λ^{r}u-\varepsilon Λ^{s}u,\qquad x\in\mathbb T, \] where , , $r\i…
Global Leray-Schauder continuation for Fredholm operators
Julián López-Gómez, Juan Carlos Sampedro
This paper ascertains the global behavior of the forward and backward branches of solutions provided by the Leray-Schauder continuation theorem for orientable Fredh…
Spectral Theory and Bezout Theorem
Juan Carlos Sampedro
This note investigates the hidden relationship between the concept of algebraic multiplicity of an eigenvalue and the local intersection index of algebraic varieties.
Bifurcation Theory for a Class of Periodic Superlinear Problems
Eduardo Muñoz-Hernández, Juan Carlos Sampedro, Andrea Tellini
We analyze, mainly using bifurcation methods, an elliptic superlinear problem in one-dimension with periodic boundary conditions. One of the main novelties is that we follow for th…
Isometric classification of the -spaces of infinite dimensional Lebesgue measure
Daniel L. Rodríguez-Vidanes, Juan Carlos Sampedro
We investigate the isometric structure of -spaces for the infinite-dimensional Lebesgue measure . Under the continuum hypothesis (CH) we prove $…
A proof of a conjecture on the multiplicity of positive solutions of an indefinite superlinear problem
Guglielmo Feltrin, Julián López-Gómez, Juan Carlos Sampedro
This paper solves in a positive manner a conjecture stated in 2000 by R. Gómez-Reñasco and J. López-Gómez regarding the multiplicity of positive solutions of a paradigmatic class o…
Periodic solutions to nonlocal pseudo-differential equations. A bifurcation theoretical perspective
Juan Carlos Sampedro
In this paper we use abstract bifurcation theory for Fredholm operators of index zero to deal with periodic even solutions of the one-dimensional equation …
Blow-up estimates and a priori bounds for the positive solutions of a class of superlinear indefinite elliptic problems
Julián López-Gómez, Juan Carlos Sampedro
In this paper we find out some new blow-up estimates for the positive explosive solutions of a paradigmatic class of elliptic boundary value problems of superlinear indefinite type…
Periodic solutions to superlinear indefinite planar systems: a topological degree approach
Guglielmo Feltrin, Juan Carlos Sampedro, Fabio Zanolin
We deal with a planar differential system of the form \begin{equation*} \begin{cases} \, u' = h(t,v), \\ \, v' = - λa(t) g(u), \end{cases} \end{equation*} where is -periodic…
Generating loops and isolas in semilinear elliptic BVP's
Julián López-Gómez, Juan Carlos Sampedro
In this paper, we ascertain the global -structure of the set of positive and negative solutions bifurcating from for the semilinear elliptic BVP \begin{equation*} \left\{\…
A bridge between Vector Bundle Theory and Nonlinear Spectral Theory
Julián López-Gómez, Juan Carlos Sampedro
This paper establishes some hidden connections between the theory of generalized algebraic multiplicities, the intersection index of algebraic varieties, and the notion of orientab…
Axiomatization of the degree of Fitzpatrick, Pejsachowicz and Rabier
Julián López-Gómez, Juan Carlos Sampedro
In this paper we prove an analogue of the uniqueness theorems of Führer and Amann and Weiss to cover the degree of Fredholm operators of index zero of Fitzpatrick, Pejsachowicz and…
Approximation Schemes for Path Integration on Riemannian Manifolds
Juan Carlos Sampedro
In this paper, we prove a finite dimensional approximation scheme for the Wiener measure on closed Riemannian manifolds, establishing a generalization for -functionals, of t…
Bifurcation Theory for Fredholm Operators
Julián López-Gómez, Juan Carlos Sampedro
This paper consists of four parts. It begins by using the authors's generalized Schauder formula, [50], and the algebraic multiplicity, , of Esquinas and López-Gómez [18,17,40]…
New Analytical and Geometrical Aspects of the Algebraic Multiplicity
Julián López-Gómez, Juan Carlos Sampedro
This paper reveals some new analytical and geometrical properties of the generalized algebraic multiplicity, , introduced in [7, 5] and further developed in [20, 23, 24]. In par…
Existence of Infinite Product Measures
Juan Carlos Sampedro
A construction of product measures is given for an arbitrary sequence of measure spaces via outer measure techniques without imposing any condition on the underlying measure spaces…
Some unit square integrals
Juan Carlos Sampedro
In this article we prove some identities which allow us to evaluate some multiple unit square integrals. In our examples we will give the value of some double and triple integrals.…
Existence of Infinite Product Measures
Juan Carlos Sampedro
A construction of product measures is given for an arbitrary sequence of measure spaces via outer measure techniques without imposing any condition on the underlying measure spaces…