Petru Mironescu

Applied Mathematics · 2000–2019

A researcher in the Science corpus: 10 papers; trusts 3 researchers and is trusted by 25 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 21 citations into it; #657 of 7,620 by trust here, #361 by citations
• Computational Theory and Mathematics — 10 citations into it; #8,560 of 12,182 by trust here, #10,901 by citations

Whom Petru Mironescu trusts overall

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

1. Jean Bourgain
2. Haim Brezis
3. Etienne Sandier

Who trusts Petru Mironescu overall

1. Haim Brezis
2. Cristiana De Filippis
3. Jean Bourgain
4. Jean Van Schaftingen
5. Giuseppe Mingione
6. William Beckner
7. Daniel Spector
8. Augusto C. Ponce
9. Tadele Mengesha
10. M. Meyries

Papers from Petru Mironescu's perspective

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

1. Lifting in Sobolev spaces
2. On the equation DIV Y = f and applications to control of phases
3. On the Bourgain, Brezis, and Mironescu Theorem Concerning Limiting Embeddings of Fractional Sobolev Spaces
4. FUNCTIONS OF BOUNDED MEAN OSCILLATION
5. Elliptic Partial Differential Equations (Numerical Methods for Engineers and Scientists)
6. Hitchhiker's guide to the fractional Sobolev spaces
7. Topology of Sobolev mappings
8. Topology and Sobolev Spaces
9. H1/2 maps with values into the circle: Minimal Connections, Lifting, and the Ginzburg–Landau equation
10. Harmonic analysis of the space BV.

Their papers

• Gagliardo–Nirenberg inequalities and non-inequalities: The full story (2017) — 266 citations
• Where Sobolev interacts with Gagliardo–Nirenberg (2019) — 76 citations
• A new function space and applications (2015) — 47 citations
• Lifting, degree, and distributional Jacobian revisited (2005) — 66 citations
• H1/2 maps with values into the circle: Minimal Connections, Lifting, and the Ginzburg–Landau equation (2004) — 127 citations
• Limiting embedding theorems forWs,p whens ↑ 1 and applications (2002) — 275 citations
• Gagliardo-Nirenberg, composition and products in fractional Sobolev spaces (2001) — 224 citations
• Another look at Sobolev spaces (2001) — 684 citations
• On the structure of the Sobolev space H1/2 with values into the circle (2000) — 58 citations
• Lifting in Sobolev spaces (2000) — 203 citations