14 citations · 14 across the 17 of their papers we have counts for
22 papers
Opinion formation process in a hierarchical society
María Celeste Romero Longar, Nicolas Saintier, Analía Silva
In this work we study the formation of consensus in a hierarchical population. We derive the corresponding kinetic equations, and analyze the long time behaviour of their solutions…
Existence and multiplicity of solutions for a Dirichlet problem in Fractional Orlicz- Sobolev spaces
Pablo Ochoa, Analía Silva, Maria José Suarez Marziani
In this paper, we first prove the existence of solutions to Dirichlet problems involving the fractional -Laplacian operator and lower order terms by appealing to sub- and supers…
The concentration-compactness principle for Orlicz spaces and applications
Julián Fernández Bonder, Analía Silva
In this paper we extend the well-known concentration -- compactness principle of P.L. Lions to Orlicz spaces. As an application we show an existence result to some critical ellipti…
Nonstandard growth optimization problems with volume constraint
Ariel Salort, Belem Schvager, Analía Silva
In this article we study some optimal design problems related to nonstandard growth eigenvalues ruled by the Laplacian operator. More precisely, given and $α,c>…
Regularity for degenerate evolution equations with strong absorption
Joao da Silva, Pablo Ochoa, Analía Silva
In this manuscript, we study geometric regularity estimates for degenerate parabolic equations of -Laplacian type () under a strong absorption condition: $ Δ_p…
Effect of Non-linear Lower Order Terms in Quasilinear Equations Involving the -Laplacian
Pablo Ochoa, Analia Silva
In this work, we study the existence of -solutions to the following boundary value problem involving the -Laplacian operator: \begin{equation*} \left\l…
Gamma convergence and asymptotic behavior for eigenvalues of nonlocal problems
Julián Fernández Bonder, Analía Silva, Juan F. Spedaletti
In this paper we analyze the asymptotic behavior of several fractional eigenvalue problems by means of Gamma-convergence methods. This method allows us to treat different eigenvalu…
Fractional elliptic problems with nonlinear gradient sources and measures
João Vitor da Silva, Pablo Ochoa, Analía Silva
In this manuscript we deal with existence/uniqueness and regularity issues of suitable weak solutions to nonlocal problems driven by fractional Laplace type operators. Different fr…
A constrained shape optimization problem in Orlicz-Sobolev spaces
João Vitor Da Silva, Ariel Salort, Analía Silva +1
In this manuscript we study the following optimization problem: given a bounded and regular domain we look for an optimal shape for the "vanish…
Three solutions for a nonlocal problem with critical growth
Natalí Ailín Cantizano, Analía Silva
The main goal of this work is to prove the existence of three different solutions (one positive, one negative and one with nonconstant sign) for the equation $(-Δ_p)^s u= |u|^{p^{*…
Opinion formation models with heterogeneous persuasion and zealotry
Mayte Pérez-Llanos, Juan Pablo Pinasco, Nicolas Saintier +1
In this work an opinion formation model with heterogeneous agents is proposed. Each agent is supposed to have different power of persuasion, and besides its own level of zealotry,…
The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis-Nirenberg problem
Julián Fernández Bonder, Nicolas Saintier, Analía Silva
In this paper we extend the well-known concentration -- compactness principle for the Fractional Laplacian operator in unbounded domains. As an application we show sufficient condi…
Uniqueness of minimal energy solutions for a semilinear problem involving the fractional laplacian
Julian Fernandez Bonder, Analia Silva, Juan Spedaletti
In this paper we study a semilinear problem for the fractional laplacian that are the counterpart of the Neumann problems in the classical setting. We show uniqueness of minimal en…
Local existence conditions for an equations involving the -Laplacian with critical exponent in
Nicolas Saintier, Analia Silva
The purpose of this paper is to formulate sufficient existence conditions for a critical equation involving the -Laplacian posed in . This equation is critical…
A mass transportation approach for Sobolev inequalities in variable exponent spaces
Juan Pablo Borthagaray, Julián Fernández Bonder, Analía Silva
In this paper we provide a proof of the Sobolev-Poincaré inequality for variable exponent spaces by means of mass transportation methods. The importance of this approach is that th…
A Gamma convergence approach to the critical Sobolev embedding in variable exponent spaces
Julián Fernández Bonder, Nicolas Saintier, Analia Silva
In this paper, we study the critical Sobolev embeddings for variable exponent Sobolev spaces from the point of view of the -convergence. Mor…
Existence of solution to a critical trace equation with variable exponent
Julian Fernandez Bonder, Nicolas Saintier, Analia Silva
In this paper we study sufficient local conditions for the existence of non-trivial solution to a critical equation for the Laplacian where the critical term is placed as a…
On the Sobolev trace Theorem for variable exponent spaces in the critical range
Julian Fernandez Bonder, Nicolas Saintier, Analia Silva
In this paper we study the Sobolev Trace Theorem for variable exponent spaces with critical exponents. We find conditions on the best constant in order to guaranty the existence of…
Existence of solution to a critical equation with variable exponent
Julián Fernández Bonder, Nicolas Saintier, Analía Silva
In this paper we study the existence problem for the Laplacian operator with a nonlinear critical source. We find a local condition on the exponents ensuring the existence o…
On the Sobolev embedding theorem for variable exponent spaces in the critical range
Julian Fernandez Bonder, Nicolas Saintier, Analia Silva
In this paper we study the Sobolev embedding theorem for variable exponent spaces with critical exponents. We find conditions on the best constant in order to guaranty the existenc…
Multiple solutions for the laplace operator with critical growth
Analía Silva
The aim of this paper is to extend previous results regarding the multiplicity of solutions for quasilinear elliptic problems with critical growth to the variable exponent case. We…
Multiple solutions for the laplace operator with critical growth
Pablo L. De Nápoli, Julián Fernández Bonder, Analía Silva
In this note we show the existence of at least three nontrivial solutions to the following quasilinear elliptic equation in a smooth bounded domai…