Faculty

Institution

Unit

Venue

Giovanni Leoni

Professor

Carnegie Mellon University

Affiliations

Mellon College of Science

Mathematical Sciences

Giovanni Leoni is currently serving as a Mathematical Sciences Professor at Carnegie Mellon University.

Honors

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Experiences

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Education

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Giovanni Leoni

Carnegie Mellon University

Professor

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applied mathematics mathematics boundary value problems partial differential equations differential equations nonlinear analysis mathematical analysis spectral theory rational mechanic calculus of variations applied physics nonlinear functional analysis operator theory mathematical sciences variational analysis mechanical engineering nonlinear phenomena numerical mathematics mechanics of materials pure mathematics nonlinear dynamics mechanics elasticity (physics) nonlinear science material research perturbation methods dynamical systems numerical simulations mathematical optimization free boundary problems nonlinear hyperbolic problem tribology nonlinear elasticity friction dislocation interaction material nonlinearities crystal growth continuum mechanics theoretical mathematics analytic number theory relaxation process epitaxial growth theoretical analysis surface tension continuum modeling numerical method for partial differential equation mechanical deformation applied algebra anisotropic materials strain localization chain rule sobolev spaces cahn-hilliard functional image restoration lower semicontinuity fluid flow mechanical behavior applied mathematical modelling mathematical control theory curvature regularization modern algebra image reconstruction geometry of numbers membrane systems membrane formation first course bv spaces higher order perturbations asymptotic stability modern methods anisotropic surface diffusion elastic films global method lp spaces gradient theory discrete dislocations mechanical science numerical computation mathematical logic numerical analysis system engineering education discrete mathematics mathematics education logic in computer science foundation of mathematics engineering education history of mathematics general systems computational mathematics approximation theory management engineering engineering design process philosophy of mathematics engineering management numerical algorithms industrial design numerical treatment

Notable Scholarly Works

Notable Federal Grants

Collaborators

Second-Order -Limit for the Cahn–Hilliard Functional With Dirichlet Boundary Conditions, I: I. Fonseca Et Al.. (2026)

dirichlet formstatistical mechanicspotential theoryfractional calculusordinary differential equationsdifferential equationsspectral theorymathematical physicsabstract and applied analysisboundary value problemsstatistical physicsnonlinear functional analysisfunctional analysismathematical analysisnonlinear analysisapplied mathematicspartial differential equationscomputational physicscalculus of variationselliptic equations

Existence of an Equilibrium With Limited Stock Market Participation and Power Utilities. (2025)

power utilitieseconomicsfinancecapital marketsmarket (economics)theoretical economicsfinancial economicseconomic analysiseconomic modellingeconomic researchmacroeconomicsmarket powergeneral equilibrium theorymarket equilibriumeconomic theory

Existence of an Equilibrium With Limited Stock Market Participation and Power Utilities. Journal of Differential Equations (2025)

security marketscapital marketstheoretical economicsfinancial stabilityinternational financial marketseconomicseconomic analysismacroeconomicseconomic theorybusinessdynamic economicsfinancial economicseconomic modellingeconomic controlgeneral equilibrium theorymonetary economicsfinancial engineeringeconomic literaturefinanceeconomic dynamicsmarket equilibriumquantitative analysis (finance)

Motion of Islands of Elastic Thin Films in the Dewetting Regime. Calculus of Variations and Partial Differential Equations (2025)

elasticity (physics)deformationthin film processinginterface sciencemechanical sciencesurface tensionelastic thin filmsapplied physicssolid mechanicsmechanics of materialsmaterials sciencematerial researchrheologynanomechanicsmechanicsthin filmsdewetting regimemechanical engineering

Motion of Islands of Elastic Thin Films in the Dewetting Regime. (2025)

nanotribologymechanical propertiesinterface sciencemechanical sciencedewateringmaterials sciencesolid mechanicsmaterial researchmechanical engineeringinterface (matter)mechanics of materialssoft matterfluid sciencetribologydeformationcomposite interfacefrictionsurface tensionelasticity (physics)applied physicsnanomechanicsmechanics

Second-Order $\Gamma$-Limit for the Cahn-Hilliard Functional With Dirichlet Boundary Conditions, II. arXiv (Cornell University) (2025)

asymptotic analysisgeometric analysisdirichlet formcahn-hilliard functionalpartial differential equationsriemann-hilbert problemdirichlet boundary conditionsphysicsmathematical analysisdifferential equationsboundary value problems

Second-Order $Γ$-Limit for the Cahn-Hilliard Functional With Dirichlet Boundary Conditions, I. arXiv (Cornell University) (2025)

dirichlet formstatistical mechanicspotential theoryfractional calculusdifferential equationsspectral theorymathematical physicsstatistical physicsnonlinear functional analysisparabolic equationsgeometric analysisfunctional analysiscalculus of variationsmathematical analysisnonlinear analysisasymptotic analysisapplied mathematicspartial differential equationscomputational physicsboundary value problems

Second-Order Gamma-Limit for the Cahn-Hilliard Functional With Dirichlet Boundary Conditions, I. (2025)

asymptotic analysisapplied mathematicsdirichlet formcahn-hilliard functionalpartial differential equationsriemann-hilbert problemapplied physicsdirichlet boundary conditionsphysicsdifferential equationsboundary value problemssecond-order gamma-limit

Second-Order Gamma-Limit for the Cahn-Hilliard Functional With Dirichlet Boundary Conditions, II. (2025)

Motion of Islands of Elastic Thin Films in the Dewetting Regime. arXiv (Cornell University) (2024)

Maso, Gianni DalFonseca, IreneLeoni, Giovanni

surface sciencefluid mechanicsthin film processingelastic thin filmssurface tensionapplied physicsmaterials sciencemechanics of materialstribologydeformationnumerical simulationsthin filmsdewetting regimemechanical engineering

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Giovanni Leoni

Professor

Carnegie Mellon University

Affiliations

Mellon College of Science

Mathematical Sciences

Giovanni Leoni is currently serving as a Mathematical Sciences Professor at Carnegie Mellon University.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Giovanni Leoni

Carnegie Mellon University

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Second-Order -Limit for the Cahn–Hilliard Functional With Dirichlet Boundary Conditions, I: I. Fonseca Et Al.. (2026)

Existence of an Equilibrium With Limited Stock Market Participation and Power Utilities. (2025)

Existence of an Equilibrium With Limited Stock Market Participation and Power Utilities. Journal of Differential Equations (2025)

Motion of Islands of Elastic Thin Films in the Dewetting Regime. Calculus of Variations and Partial Differential Equations (2025)

Motion of Islands of Elastic Thin Films in the Dewetting Regime. (2025)

Second-Order $\Gamma$-Limit for the Cahn-Hilliard Functional With Dirichlet Boundary Conditions, II. arXiv (Cornell University) (2025)

Second-Order $Γ$-Limit for the Cahn-Hilliard Functional With Dirichlet Boundary Conditions, I. arXiv (Cornell University) (2025)

Second-Order Gamma-Limit for the Cahn-Hilliard Functional With Dirichlet Boundary Conditions, I. (2025)

Second-Order Gamma-Limit for the Cahn-Hilliard Functional With Dirichlet Boundary Conditions, II. (2025)

Motion of Islands of Elastic Thin Films in the Dewetting Regime. arXiv (Cornell University) (2024)

Maso, Gianni DalFonseca, IreneLeoni, Giovanni

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2
3
4
5
27
10 / page

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numerical mathematics

general systems

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thermodynamics

continuum mechanics

Guido De Philippis

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applied mathematical modelling

spectral analysis

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biosystems

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diffusion process

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