Ireneo Peral

5.5k total citations
111 papers, 3.6k citations indexed

About

Ireneo Peral is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Ireneo Peral has authored 111 papers receiving a total of 3.6k indexed citations (citations by other indexed papers that have themselves been cited), including 104 papers in Applied Mathematics, 84 papers in Computational Theory and Mathematics and 41 papers in Mathematical Physics. Recurrent topics in Ireneo Peral's work include Nonlinear Partial Differential Equations (97 papers), Advanced Mathematical Modeling in Engineering (84 papers) and Nonlinear Differential Equations Analysis (28 papers). Ireneo Peral is often cited by papers focused on Nonlinear Partial Differential Equations (97 papers), Advanced Mathematical Modeling in Engineering (84 papers) and Nonlinear Differential Equations Analysis (28 papers). Ireneo Peral collaborates with scholars based in Spain, Italy and Algeria. Ireneo Peral's co-authors include Jesús García Azorero, Boumediene Abdellaoui, Luis Caffarelli, Antonio Ambrosetti, Juan J. Manfredi, Eduardo Colorado, Ana Primo, Veronica Felli, María Medina and Julio D. Rossi and has published in prestigious journals such as SHILAP Revista de lepidopterología, Communications on Pure and Applied Mathematics and Lecture notes in mathematics.

In The Last Decade

Ireneo Peral

109 papers receiving 3.3k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Ireneo Peral Spain 31 3.5k 2.8k 1.5k 225 192 111 3.6k
Tobias Weth Germany 31 2.8k 0.8× 2.0k 0.7× 1.6k 1.1× 276 1.2× 260 1.4× 89 3.1k
Claudianor O. Alves Brazil 38 4.6k 1.3× 3.4k 1.2× 2.4k 1.6× 627 2.8× 328 1.7× 244 4.9k
Enzo Mitidieri Italy 29 2.4k 0.7× 1.7k 0.6× 938 0.6× 337 1.5× 333 1.7× 83 2.7k
Shuangjie Peng China 28 2.2k 0.6× 1.5k 0.5× 1.4k 0.9× 241 1.1× 106 0.6× 115 2.4k
Shusen Yan Australia 30 2.2k 0.6× 1.6k 0.6× 1.3k 0.9× 120 0.5× 281 1.5× 120 2.5k
Angela Pistoia Italy 26 1.9k 0.5× 1.5k 0.5× 818 0.6× 93 0.4× 297 1.5× 156 2.1k
Andrzej Szulkin Sweden 25 2.5k 0.7× 1.7k 0.6× 1.5k 1.0× 161 0.7× 279 1.5× 61 2.9k
Binlin Zhang China 31 3.0k 0.9× 2.2k 0.8× 1.2k 0.8× 643 2.9× 171 0.9× 137 3.2k
Hans-Christoph Grunau Germany 21 1.3k 0.4× 990 0.4× 533 0.4× 140 0.6× 157 0.8× 61 1.6k
Wenming Zou China 30 3.4k 1.0× 2.2k 0.8× 1.8k 1.2× 482 2.1× 365 1.9× 161 3.7k

Countries citing papers authored by Ireneo Peral

Since Specialization
Citations

This map shows the geographic impact of Ireneo Peral's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Ireneo Peral with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Ireneo Peral more than expected).

Fields of papers citing papers by Ireneo Peral

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Ireneo Peral. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Ireneo Peral. The network helps show where Ireneo Peral may publish in the future.

Co-authorship network of co-authors of Ireneo Peral

This figure shows the co-authorship network connecting the top 25 collaborators of Ireneo Peral. A scholar is included among the top collaborators of Ireneo Peral based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Ireneo Peral. Ireneo Peral is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Abdellaoui, Boumediene, María Medina, Ireneo Peral, & Ana Primo. (2016). The effect of the Hardy potential in some Calderón–Zygmund properties for the fractional Laplacian. Journal of Differential Equations. 260(11). 8160–8206. 35 indexed citations
2.
Abdellaoui, Boumediene, et al.. (2015). Some existence and regularity results for porous media and fast diffusion equations with a gradient term. Transactions of the American Mathematical Society. 367(7). 4757–4791. 3 indexed citations
3.
Abdellaoui, Boumediene, et al.. (2014). Effect of a Gradient Term on the Solvability of the Heat Equation with a Supercritical Reaction with Respect to the Hardy Potential. Advanced Nonlinear Studies. 14(3). 547–564.
4.
Peral, Ireneo, et al.. (2012). Remarks on the solvability of an elliptic equation with a supercritical term involving the Hardy–Leray potential. Journal of Mathematical Analysis and Applications. 394(1). 347–359. 5 indexed citations
5.
Mercaldo, Anna, Ireneo Peral, & Ana Primo. (2011). Results for degenerate nonlinear elliptic equations involving a Hardy potential. Journal of Differential Equations. 251(11). 3114–3142. 9 indexed citations
6.
Colorado, Eduardo, et al.. (2009). Multiplicity of solutions to uniformly elliptic fully nonlinear equations with concave–convex right-hand side. Journal of Differential Equations. 246(11). 4221–4248. 26 indexed citations
7.
Alvino, Angelo, Anna Mercaldo, François Murat, & Ireneo Peral. (2008). On the notions of solution to nonlinear elliptic problems : results and developments. 12 indexed citations
8.
Abdellaoui, Boumediene, Andrea Dall’Aglio, & Ireneo Peral. (2008). Regularity and nonuniqueness results for parabolic problems arising in some physical models, having natural growth in the gradient. Journal de Mathématiques Pures et Appliquées. 90(3). 242–269. 17 indexed citations
9.
Abdellaoui, Boumediene & Ireneo Peral. (2007). The equation $-\Delta \textit {u}-\lambda \dfrac{\textit {u}}{|\textit {x}|^{\bf 2}}=|\nabla \textit {u}|^{\textit {p}}+ \textit {c} \textit {f}(\textit {x})$ : The optimal power. Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze. 6(1). 159–183. 3 indexed citations
10.
Abdellaoui, Boumediene, Ireneo Peral, & Ana Primo. (2007). Elliptic problems with a Hardy potential and critical growth in the gradient: Non-resonance and blow-up results. Journal of Differential Equations. 239(2). 386–416. 25 indexed citations
11.
Abdellaoui, Boumediene, Veronica Felli, & Ireneo Peral. (2006). Existence and nonexistence results for quasilinear elliptic equations involving the p-laplacian. BOA (University of Milano-Bicocca). 9(2). 445–484. 49 indexed citations
12.
Abdellaoui, Boumediene, Eduardo Colorado, & Ireneo Peral. (2006). Some critical quasilinear elliptic problems with mixed Dirichlet–Neumann boundary conditions: Relation with Sobolev and Hardy–Sobolev optimal constants. Journal of Mathematical Analysis and Applications. 332(2). 1165–1188. 6 indexed citations
13.
Ambrosetti, Antonio, Jesús García Azorero, & Ireneo Peral. (2001). Remarks on a Class of Semilinear Elliptic Equations on ℝ n , via Perturbat ion Met hods. Advanced Nonlinear Studies. 1(1). 1–13. 8 indexed citations
14.
Peral, Ireneo, et al.. (2000). SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS. Communications in Contemporary Mathematics. 2(3). 385–404. 250 indexed citations
15.
Ambrosetti, Antonio, Jesús García Azorero, & Ireneo Peral. (1999). Perturbation of Δu+u(N+2)/(N−2)=0, the Scalar Curvature Problem in RN, and Related Topics. Journal of Functional Analysis. 165(1). 117–149. 121 indexed citations
16.
Peral, Ireneo, et al.. (1998). Hardy Inequalities and Some Critical Elliptic and Parabolic Problems. Journal of Differential Equations. 144(2). 441–476. 374 indexed citations
17.
Boccardo, Lucio, Ireneo Peral, & Juan Luís Vázquez. (1996). TheN-Laplacian Elliptic Equation: Variational versus Entropy Solutions. Journal of Mathematical Analysis and Applications. 201(3). 671–688. 10 indexed citations
18.
Peral, Ireneo, et al.. (1996). On an elliptic equation with exponential growth. Rendiconti del Seminario Matematico della Università di Padova. 96. 143–175. 7 indexed citations
19.
Ambrosetti, Antonio, Jesús García Azorero, & Ireneo Peral. (1996). Multiplicity Results for Some Nonlinear Elliptic Equations. Journal of Functional Analysis. 137(1). 219–242. 192 indexed citations
20.
Azorero, Jesús García & Ireneo Peral. (1991). Multiplicity of solutions for elliptic problems with critical exponent or with a nonsymmetric term. Transactions of the American Mathematical Society. 323(2). 877–895. 267 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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