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- Giuseppe Buttazzo

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
40
Citations
8,384
239
World Ranking
1358
National Ranking
40

- Mathematical analysis
- Quantum mechanics
- Geometry

His scientific interests lie mostly in Mathematical analysis, Calculus of variations, Shape optimization, Sobolev space and Calculus. His Mathematical analysis research incorporates elements of Classical mechanics, Pure mathematics, Applied mathematics and Relaxation. His Calculus of variations research includes themes of Elasticity, Coercive function, Nonlinear system and Of the form.

His Shape optimization research is multidisciplinary, incorporating elements of Optimization problem and Dirichlet boundary condition. His Sobolev space research is multidisciplinary, incorporating perspectives in Borel measure and Combinatorics. The concepts of his Calculus study are interwoven with issues in Cylinder, Motion, Compressibility and Inviscid flow.

- Variational Analysis in Sobolev and BV Spaces: Applications to PDEs and Optimization (322 citations)
- Variational methods in shape optimization problems (318 citations)
- Semicontinuity, Relaxation and Integral Representation in the Calculus of Variations (263 citations)

Giuseppe Buttazzo spends much of his time researching Mathematical analysis, Shape optimization, Mathematical optimization, Applied mathematics and Pure mathematics. The study incorporates disciplines such as Eigenvalues and eigenvectors and Nonlinear system in addition to Mathematical analysis. His Shape optimization study incorporates themes from Dirichlet's energy, Bounded function, Elliptic operator, Domain and Scaling.

In general Mathematical optimization study, his work on Optimal control often relates to the realm of Mass transportation, Transportation cost and Population, thereby connecting several areas of interest. His study on Applied mathematics also encompasses disciplines like

- Optimization problem that connect with fields like Function,
- Class and related Open set. His Pure mathematics study combines topics in areas such as Space and Measure.

- Mathematical analysis (30.77%)
- Shape optimization (20.15%)
- Mathematical optimization (18.32%)

- Shape optimization (20.15%)
- Applied mathematics (16.12%)
- Mathematical analysis (30.77%)

His main research concerns Shape optimization, Applied mathematics, Mathematical analysis, Optimization problem and Combinatorics. His work carried out in the field of Shape optimization brings together such families of science as Dirichlet's energy, Open set, Type, Sobolev space and Domain. The Applied mathematics study combines topics in areas such as Optimal control, Schrödinger's cat, Minimization problem, Control variable and Dirichlet distribution.

In the field of Mathematical analysis, his study on Laplace operator overlaps with subjects such as Elastic membrane. His research in Optimization problem tackles topics such as Insulator which are related to areas like Mechanics and Circular symmetry. His Combinatorics research is multidisciplinary, relying on both Lambda, Class, Measure and Omega.

- The Optimal Sampling Pattern for Linear Control Systems (35 citations)
- Spectral Optimization Problems for Potentials and Measures (18 citations)
- Continuity and Estimates for Multimarginal Optimal Transportation Problems with Singular Costs (17 citations)

- Mathematical analysis
- Quantum mechanics
- Geometry

Giuseppe Buttazzo mainly investigates Shape optimization, Mathematical analysis, Mathematical optimization, Optimization problem and Applied mathematics. His studies in Shape optimization integrate themes in fields like Dirichlet's energy, Pure mathematics, Sobolev space, Measure and Class. The Mathematical analysis study combines topics in areas such as Eigenvalues and eigenvectors and Reinforcement.

His work deals with themes such as Computation and Coulomb, which intersect with Mathematical optimization. His Optimization problem research is multidisciplinary, incorporating perspectives in Symmetry breaking, Dirichlet eigenvalue and Insulator. His Applied mathematics research integrates issues from Conservation law, Sign, Partial differential equation and Optimal control.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Variational Analysis in Sobolev and BV Spaces: Applications to PDEs and Optimization

Hedy Attouch;Giuseppe Buttazzo;Gérard Michaille.

**(2006)**

853 Citations

Variational Analysis in Sobolev and BV Spaces: Applications to PDEs and Optimization

Hedy Attouch;Giuseppe Buttazzo;Gérard Michaille.

**(2006)**

853 Citations

Semicontinuity, Relaxation and Integral Representation in the Calculus of Variations

Giuseppe Buttazzo.

**(1989)**

536 Citations

Semicontinuity, Relaxation and Integral Representation in the Calculus of Variations

Giuseppe Buttazzo.

**(1989)**

536 Citations

Variational methods in shape optimization problems

Dorin Bucur;Giuseppe Buttazzo.

**(2005)**

520 Citations

Variational methods in shape optimization problems

Dorin Bucur;Giuseppe Buttazzo.

**(2005)**

520 Citations

One-dimensional variational problems : an introduction

Giuseppe Buttazzo;Mariano Giaquinta;Stefan Hildebrandt.

**(1998)**

426 Citations

One-dimensional variational problems : an introduction

Giuseppe Buttazzo;Mariano Giaquinta;Stefan Hildebrandt.

**(1998)**

426 Citations

An optimal design problem with perimeter penalization

Luigi Ambrosio;Giuseppe Buttazzo.

Calculus of Variations and Partial Differential Equations **(1993)**

319 Citations

An optimal design problem with perimeter penalization

Luigi Ambrosio;Giuseppe Buttazzo.

Calculus of Variations and Partial Differential Equations **(1993)**

319 Citations

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