Ireneo Peral: Forty Years as Mentor-Reference-Cited by-同舟云学术

Ireneo Peral: Forty Years as Mentor

Published:2017-03-24 Issue:2 Volume:17 Page:217-243
ISSN:1536-1365
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Abdellaoui Boumediene¹,Aguilar Juan Antonio²,Barrios Begoña³,Colorado Eduardo⁴,Charro Fernando⁵,García Azorero Jesús⁶,Medina Maria⁷,Merchán Susana⁸,Montoro Luigi⁹,Primo Ana¹⁰

Affiliation:

1. Laboratoire d’Analyse Nonlinéaire et Mathématiques Appliquées, Département de Mathématiques, Université Abou Bakr Belkaid, Tlemcen, Tlemcen 13000, Algeria

2. formerly at: Universidad Autónoma de Madrid, Spain

3. Departamento de Análisis Matemático, Universidad de La Laguna, C/. Astrofísico Francisco Sánchez s/n, 38200 La Laguna, Islas Canarias, Spain

4. Departamento de Matemáticas, Universidad Carlos III de Madrid, 28911 Leganès, Madrid, Spain

5. Departament de Matemàtiques, Universitat Politècnica de Catalunya, Av. Diagonal 647, 08028 Barcelona, Spain

6. Departamento de Matemáticas, Universidad Autónoma de Madrid,28049 Madrid, Spain

7. Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Avenida Vicuña Mackenna 4860, Santiago, Chile

8. Departamento de Matemática e informática aplicadas a las ingenierías civil y naval, E.T.S.I. Caminos,canales y puertos, Universidad Politécnica de Madrid, Campus Ciudad Universitaria, 28040 Madrid, Spain

9. Dipartimento di Matematica e Informatica, Università della Calabria, Ponte Pietro Bucci 31B,87036 Arcavacata di Rende, Cosenza, Italy

10. Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain

Abstract

Abstract In this article we present a survey of the Ph.D. theses that have been completed under the advice of Ireneo Peral. Following a chronological order, we summarize the main results contained in the works of the former students of Ireneo Peral.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2017-0003/pdf

Reference89 articles.

1. Abdellaoui B., Attar A., Merchán S. and Peral I., Nonlinear parabolic problem with a natural growth and a singular reaction term, Adv. Nonlinear Stud. 14 (2014), no. 3, 547–564.

2. Abdellaoui B., Boccardo L., Peral I. and Primo A., Quasilinear elliptic equations with natural growth, Differential Integral Equations 20 (2007), no. 9, 1005–1020.

3. Abdellaoui B., Colorado E. and Peral I., Existence and nonexistence results for a class of linear and semilinear parabolic equations related to some Caffarelli–Kohn–Nirenberg inequalities, J. Eur. Math. Soc. (JEMS) 6 (2004), no. 1, 119–148.

4. Abdellaoui B., Colorado E. and Peral I., Some remarks on elliptic equations with singular potentials and mixed boundary conditions, Adv. Nonlinear Stud. 4 (2004), no. 4, 503–533.

5. Abdellaoui B., Colorado E. and Peral I., Effect of the boundary conditions in the behavior of the optimal constant of some Caffarelli–Kohn–Nirenberg inequalities. Application to some doubly critical nonlinear elliptic problems, Adv. Differential Equations 11 (2006), no. 6, 667–720.