L. D’Ambrosio

Applied Mathematics · 2003–2014

A researcher in the Science corpus: 9 papers; trusts 48 researchers and is trusted by 22 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 77 citations into it; #973 of 7,620 by trust here, #1,057 by citations
• Computational Theory and Mathematics — 41 citations into it; #1,857 of 12,182 by trust here, #2,298 by citations
• Mathematical Physics — 23 citations into it; #6,795 of 8,562 by trust here, #4,247 by citations
• Geometry and Topology — 10 citations into it
• Control and Systems Engineering — 5 citations into it

Whom L. D’Ambrosio trusts overall

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

1. Enzo Mitidieri
2. Filippo Gazzola
3. Andrea Bonfiglioli
4. Stanislav I. Pohozaev
5. G. Barbatis
6. D. Danielli
7. Simone Secchi
8. J. Serrin
9. Wenxiong CHEN *
10. Adimurthi

Who trusts L. D’Ambrosio overall

1. Anouar Bahrouni
2. Michael Ruzhansky
3. Enzo Mitidieri
4. Luz Roncal
5. V. Ruadulescu
6. Baptiste Devyver
7. Iwona Chlebicka
8. M. DʼAbbicco
9. D. Monticelli
10. Durvudkhan Suragan

Papers from L. D’Ambrosio's perspective

Ordered by how strongly the researchers L. D’Ambrosio trusts endorse each paper. Same corpus, a different order for every researcher.

1. Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities
2. A simple approach to Hardy inequalities
3. Hardy inequalities with optimal constants and remainder terms
4. Classification of solutions for an integral equation
5. Remark on some conformally invariant integral equations: the method of moving spheres
6. Extremal Functions for Hardy's Inequality with Weight
7. Nonexistence results and estimates for some nonlinear elliptic problems
8. The Role of Critical Exponents in Blow-Up Theorems: The Sequel
9. Nonexistence results of solutions of semilinear differential inequalities on the Heisenberg group
10. An Extension Problem Related to the Fractional Laplacian

Their papers

• A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities (2010) — 135 citations
• Nonlinear Liouville theorems for Grushin and Tricomi operators (2003) — 124 citations
• Liouville theorems for anisotropic quasilinear inequalities (2009) — 52 citations
• Some Hardy Inequalities on the Heisenberg Group (2004) — 79 citations
• Hardy inequalities on Riemannian manifolds and applications (2012) — 103 citations
• Hardy-type inequalities related to degenerate elliptic differential operators (2006) — 120 citations
• Representation Formulae for Solutions to Some Classes of Higher Order Systems and Related Liouville Theorems (2008) — 116 citations
• Some Liouville theorems for the fractional Laplacian (2014) — 61 citations
• Hardy inequalities related to Grushin type operators (2003) — 104 citations