Search Results - "Salort, Ariel M."
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Homogenization of Steklov eigenvalues with rapidly oscillating weights
Published in Calculus of variations and partial differential equations (01-02-2022)“…In this article we study the homogenization rates of eigenvalues of a Steklov problem with rapidly oscillating periodic weight functions. The results are…”
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2
A limiting problem for local/non-local p-Laplacians with concave–convex nonlinearities
Published in Zeitschrift für angewandte Mathematik und Physik (01-12-2020)“…In this manuscript, we deal with an equation involving a combination of quasi-linear elliptic operators of local and non-local nature with p -structure, and…”
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3
The first non-zero Neumann p-fractional eigenvalue
Published in Nonlinear analysis (01-05-2015)“…In this work we study the asymptotic behavior of the first non-zero Neumann p-fractional eigenvalue λ1(s,p) as s→1− and as p→∞. We show that there exists a…”
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4
Precise homogenization rates for the Fučík spectrum
Published in Nonlinear differential equations and applications (01-08-2017)“…Given a bounded domain Ω in R N , N ≥ 1 we study the homogenization of the weighted Fučík spectrum with Dirichlet boundary conditions. In the case of periodic…”
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5
Sharp regularity estimates for quasi-linear elliptic dead core problems and applications
Published in Calculus of variations and partial differential equations (01-06-2018)“…In this manuscript we study geometric regularity estimates for quasi-linear elliptic equations of p -Laplace type ( 1 < p < ∞ ) with strong absorption…”
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6
A Hölder infinity Laplacian obtained as limit of Orlicz fractional Laplacians
Published in Revista matemática complutense (01-05-2022)“…This paper concerns the study of the asymptotic behavior of the solutions to a family of fractional type problems on a bounded domain, satisfying homogeneous…”
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7
A limiting obstacle type problem for the inhomogeneous p-fractional Laplacian
Published in Calculus of variations and partial differential equations (01-08-2019)“…In this manuscript we study an inhomogeneous obstacle type problem involving a fractional p -Laplacian type operator. First, we focus our attention in…”
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8
Eigenvalue homogenization for quasilinear elliptic equations with various boundary conditions
Published in Electronic journal of differential equations (20-01-2016)“…We study the rate of convergence for (variational) eigenvalues of several non-linear problems involving oscillating weights and subject to several types of…”
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9
Refined asymptotics for eigenvalues on domains of infinite measure
Published in Journal of mathematical analysis and applications (01-11-2010)“…In this work we study the asymptotic distribution of eigenvalues in one-dimensional open sets. The method of proof is rather elementary, based on the Dirichlet…”
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10
Hardy inequalities in fractional Orlicz-Sobolev spaces
Published in Publicacions matemàtiques (2022)Get full text
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11
Regularity properties for p−dead core problems and their asymptotic limit as p
Published in Journal of the London Mathematical Society (01-02-2019)“…We study regularity issues and the limiting behavior as p→∞ of non‐negative solutions for elliptic equations of p−Laplacian type (2⩽p<∞) with a strong…”
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12
Regularity properties for p−dead core problems and their asymptotic limit as p: REGULARITY FOR p−DEAD CORE PROBLEMS
Published in Journal of the London Mathematical Society (01-02-2019)Get full text
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13
Uniform stability of the ball with respect to the first Dirichlet and Neumann infinity-eigenvalues
Published in Electronic journal of differential equations (01-01-2018)“…In this note we analyze how perturbations of a ball $ B_r \subset \mathbb{R}^n$ behaves in terms of their first (non-trivial) Neumann and Dirichlet…”
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14
Convergence rate for some quasilinear eigenvalues homogenization problems
Published in Journal of mathematical analysis and applications (15-03-2015)“…In this work we study the homogenization problem for nonlinear eigenvalues of some quasilinear elliptic operators. We obtain an explicit order of convergence…”
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15
Lower bounds for Orlicz eigenvalues
Published 15-04-2021“…In this article we consider the following weighted nonlinear eigenvalue problem for the $g-$Laplacian $$ -\mathop{\text{ div}}\left( g(|\nabla u|)\frac{\nabla…”
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16
Homogenization of Steklov eigenvalues with rapidly oscillating weights
Published 25-09-2020“…In this article we study the homogenization rates of eigenvalues of a Steklov problem with rapidly oscillating periodic weight functions. The results are…”
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17
Eigenvalues and minimizers for a non-standard growth non-local operator
Published 09-07-2018“…In this article we study eigenvalues and minimizers of a fractional non-standard growth problem. We prove several properties on this quantities and their…”
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18
Stability of solutions for nonlocal problems
Published 10-10-2019“…In this paper we deal with the stability of solutions of fractional $p-$Laplace problems with nonlinear sources when the fractional parameter $s$ goes to 1. We…”
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19
Homogenization of Fucik eigenvalues by optimal partition methods
Published 25-01-2016“…Given a bounded domain $\Omega$ in $\mathbb{R}^N$, $N\geq 1$ we study the asymptotic behavior as $\varepsilon \to 0$ of the eigencurves of $$ -\Delta_p…”
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20
Fractional order Orlicz-Sobolev spaces
Published 11-07-2017“…In this paper we define the fractional order Orlicz-Sobolev spaces, and prove its convergence to the classical Orlicz-Sobolev spaces when the fractional…”
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