Dorin Bucur

Computational Theory and Mathematics · 2000–2018

A researcher in the Science corpus: 10 papers; trusts 19 researchers and is trusted by 13 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 40 citations into it; #2,593 of 12,182 by trust here, #2,689 by citations
• Applied Mathematics — 37 citations into it; #2,595 of 7,620 by trust here, #2,583 by citations
• Mathematical Physics — 27 citations into it; #3,047 of 8,562 by trust here, #3,335 by citations

Whom Dorin Bucur trusts overall

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

1. Daniel Daners
2. Antoine Henrot
3. Nikolai Nadirashvili
4. Tanguy Briançon
5. Luigi Ambrosio
6. Dario Mazzoleni
7. Filippo Gazzola
8. Luis Caffarelli
9. É. Oudet
10. N. Fusco

Who trusts Dorin Bucur overall

1. Dario Mazzoleni
2. Alessandro Giacomini
3. Antoine Henrot
4. Yannick Privat
5. M. Berg
6. Denis S. Grebenkov
7. Daniel Daners
8. Emmanuel Trélat
9. S. Terracini
10. Aldo Pratelli

Papers from Dorin Bucur's perspective

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

1. Extremum Problems for Eigenvalues of Elliptic Operators
2. Robin boundary value problems on arbitrary domains
3. Minimization of the third eigenvalue of the Dirichlet Laplacian (Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences)
4. Minimization problems for eigenvalues of the Laplacian
5. The Laplacian with Robin Boundary Conditions on Arbitrary Domains
6. Isoperimetric Inequalities for Eigenvalues of the Laplacian
7. Isoperimetric Inequality for the Second Eigenvalue of a Sphere
8. Maximization of the second positive Neumann eigenvalue for planar domains
9. Functions of Bounded Variation and Free Discontinuity Problems
10. Lipschitz continuity of state functions in some optimal shaping

Their papers

• Variational Methods in Shape Optimization Problems (2005) — 525 citations
• Minimization of the third eigenvalue of the Dirichlet Laplacian (2000) — 64 citations
• An alternative approach to the Faber–Krahn inequality for Robin problems (2009) — 85 citations
• A Variational Approach to the Isoperimetric Inequality for the Robin Eigenvalue Problem (2010) — 79 citations
• Minimization of the k-th eigenvalue of the Dirichlet Laplacian (2012) — 120 citations
• Maximization of the second non-trivial Neumann eigenvalue (2018) — 49 citations
• Faber–Krahn Inequalities for the Robin-Laplacian: A Free Discontinuity Approach (2015) — 70 citations
• Lipschitz Regularity of the Eigenfunctions on Optimal Domains (2013) — 54 citations
• The First Biharmonic Steklov Eigenvalue: Positivity Preserving and Shape Optimization (2011) — 47 citations
• On the first eigenvalue of a fourth order Steklov problem (2009) — 63 citations