I. Peral

Applied Mathematics · with Abdellaoui · 2000–2016

A researcher in the Science corpus: 22 papers; trusts 40 researchers and is trusted by 30 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 144 citations into it; #671 of 7,620 by trust here, #316 by citations
• Computational Theory and Mathematics — 99 citations into it; #1,477 of 12,182 by trust here, #912 by citations
• Mathematical Physics — 75 citations into it; #6,487 of 8,562 by trust here, #2,682 by citations
• Control and Systems Engineering — 12 citations into it; #4,192 of 8,257 by trust here, #4,262 by citations
• Numerical Analysis — 11 citations into it; #1,180 of 3,586 by trust here, #1,372 by citations
• Geometry and Topology — 7 citations into it
• Mechanics of Materials — 7 citations into it

Whom I. Peral trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Boumediene Abdellaoui
2. Zhi-Qiang Wang
3. Lucio Boccardo
4. Begoña Barrios
5. Luis Silvestre
6. Haim Brezis
7. Rupert L. Frank
8. Luis Caffarelli
9. M. Kassmann
10. Enrico Valdinoci

Who trusts I. Peral overall

1. Boumediene Abdellaoui
2. Begoña Barrios
3. María Medina
4. Khalid Adriouch
5. Francesca Gladiali
6. Matteo Bonforte
7. Juan Luis V'azquez
8. A. Primo
9. Eduardo Colorado
10. Serena Dipierro

Papers from I. Peral's perspective

Ordered by how strongly the researchers I. Peral trusts endorse each paper. Same corpus, a different order for every researcher.

1. Regularity for solutions of non local parabolic equations
2. The Hardy Inequality and the Asymptotic Behaviour of the Heat Equation with an Inverse-Square Potential
3. Regularity for solutions of nonlocal parabolic equations II
4. Local Regularity for Parabolic Nonlocal Operators
5. Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations
6. On the Caffarelli-Kohn-Nirenberg inequalities: Sharp constants, existence (and nonexistence), and symmetry of extremal functions †
7. Nonlinear elliptic equations having a gradient term with natural growth
8. Caffarelli-Kohn-Nirenberg inequalities with remainder terms
9. A non-local regularization of first order Hamilton–Jacobi equations
10. Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55)

Their papers

• Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations (2015) — 196 citations
• Elliptic Variational Problems in RN with Critical Growth (2000) — 60 citations
• Semilinear elliptic problems with mixed Dirichlet–Neumann boundary conditions (2003) — 78 citations
• Some remarks on the solvability of non-local elliptic problems with the Hardy potential (2014) — 73 citations
• The effect of the Hardy potential in some Calder\'on-Zygmund properties for the fractional Laplacian (2015) — 74 citations
• The critical hyperbola for a Hamiltonian elliptic system with weights (2008) — 56 citations
• Some remarks on elliptic problems with critical growth in the gradient (2006) — 129 citations
• Existence and nonexistence results for quasilinear elliptic equations involving the p-Laplacian with a critical potential (2003) — 106 citations
• Some improved Caffarelli-Kohn-Nirenberg inequalities (2005) — 72 citations
• Some results for semilinear elliptic equations with critical potential (2002) — 52 citations
• A remark on existence and optimal summability of solutions of elliptic problems involving Hardy potential (2006) — 70 citations
• A convex-concave problem with a nonlinear boundary condition (2004) — 98 citations
• On fractional p-Laplacian parabolic problem with general data (2016) — 47 citations
• Global existence versus blow-up results for a fourth order parabolic PDE involving the Hessian (2015) — 55 citations
• Semilinear problems for the fractional laplacian with a singular nonlinearity (2015) — 116 citations
• Optimal results for the fractional heat equation involving the Hardy potential (2014) — 51 citations
• Bifurcation results for a fractional elliptic equation with critical exponent in R^n (2014) — 47 citations
• A Widder’s Type Theorem for the Heat Equation with Nonlocal Diffusion (2013) — 98 citations
• Some remarks on systems of elliptic equations doubly critical in the whole $${\mathbb{R}^N}$$ (2009) — 79 citations
• The Neumann problem for the ∞∞-Laplacian and the Monge–Kantorovich mass transfer problem (2007) — 61 citations