Fabrizio Cuccu

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Aidan O'Sullivan

University College Dublin

J. B. (Jack) Owens

Idaho State University

Lorenzo Magnani

University of Pavia

Gianni Del Pero

Università di Milano-Bicocca

Amir Mosavi

German Research Center for Artificial Intelligence

Dr S. F. Afzali

Shiraz University

Vahid Arbabi

University Medical Center Utrecht

Thomas Okey

University of Victoria

Gary Fones

University of Portsmouth

Hadar Ben-Yoav

Ben Gurion University of the Negev

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Papers by Fabrizio Cuccu

Boundary behaviour for solutions of elliptic singular equations with a gradient term

by Fabrizio Cuccu and Ester Giarrusso

Nonlinear Analysis Theory Methods Applications, Dec 1, 2008

We investigate the homogeneous Dirichlet boundary value problem for a class of second-order nonli... more We investigate the homogeneous Dirichlet boundary value problem for a class of second-order nonlinear elliptic partial differential equations with a gradient term and singular data. Under general conditions on the data, we study the behaviour of the solution near the boundary of the domain. Under suitable additional conditions we also investigate the second-order term in the asymptotic expansion of the

Nonlinear Elastic Membranes Involving the P-Laplacian Operator

This paper concerns an optimization problem related to the Poisson equation for the p-Laplace ope... more This paper concerns an optimization problem related to the Poisson equation for the p-Laplace operator, subject to homogeneous Dirichlet boundary conditions. Physically the Poisson equation models, for example, the deformation of a nonlinear elastic membrane which is fixed along the boundary, under load. A particular situation where the load is represented by a characteristic function is investigated.

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Symmetry breaking in the minimization of the first eigenvalue for the composite clamped punctured disk

by Fabrizio Cuccu and Claudia Anedda

Applicationes Mathematicae, 2015

Boundary estimates for solutions to singular elliptic equations

by Fabrizio Cuccu and Claudia Anedda

ABSTRACT

Optimization in a problem of heat conduction

ABSTRACT

Optimization in eigenvalue problems

Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

ABSTRACT

Steiner symmetry in the minimization of the first eigenvalue in problems involving the $p$-Laplacian

Proceedings of the American Mathematical Society, 2015

Optimization problems for some functionals related to solutions of PDE’s

International Journal of Pure and Applied Mathematics

... Kathmandu University Kathmandu, NEPAL e-mail: [email protected] Abstract: We investigate maxima... more

Estimates for solutions to nonlinear degenerate elliptic equations

Optimization of the energy integral in two classes of rearrangements

This paper concerns the maximization and the minimization of the energy integral associated to a ... more This paper concerns the maximization and the minimization of the energy integral associated to a second order elliptic problem in classes of rearrangements with respect to either the Lebesgue measure or to a measure related to the structure of the equation. We find results of existence, uniqueness and representation of the maximizers and the minimizers. Precise characterizations of the optimizers are found in case the domain is a ball. Finally, the effect of special geometrical transformations concerning these problems is discussed.

Symmetry breaking in the minimization of the second eigenvalue for composite membranes

by Fabrizio Cuccu and Claudia Anedda

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2015

Minimization of the first eigenvalue in problems involving the bi-laplacian

by Fabrizio Cuccu, Claudia Anedda, and G. Porru

Revista de Matemática: Teoría y Aplicaciones, 2009

This paper concerns the minimization of the first eigenvalue in problems involving the bi-Laplaci... more This paper concerns the minimization of the first eigenvalue in problems involving the bi-Laplacian under either homogeneous Navier boundary conditions or homogeneous Dirichlet boundary conditions. Physically, in case of N = 2, our equation models the vibration of a non homogeneous plate Ω which is either hinged or clamped along the boundary. Given several materials (with different densities) of total extension |Ω|, we investigate the location of these materials inside Ω so to minimize the first mode in the vibration of the corresponding plate.

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Estimates for solutions to optimization problems on elliptic equations

We investigate a maximization problem involving the energy integral of the solutions to special e... more We investigate a maximization problem involving the energy integral of the solutions to special elliptic equations and find estimates concerning the optimal configurations. To prove our results we use a maximum principle for the P-function in case of weak solutions for general semilinear equations. Finally, we investigate the particular case of a dumbbell domain.

Symmetry of solutions to optimization problems related to partial differential equations

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2006

ABSTRACT

Optimization problems on general classes of rearrangements

Nonlinear Analysis: Theory, Methods & Applications, 2011

This paper is concerned with maximization and minimization problems of the energy integral associ... more This paper is concerned with maximization and minimization problems of the energy integral associated to p-Laplace equations depending on functions that belong to a class of rearrangements. We prove existence and uniqueness results, and present some features of optimal solutions. The radial case is discussed in detail. We also prove a result of uniqueness for a class of p-Laplace equations under non-standard assumptions.

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Maximization of the first eigenvalue in problems involving the bi-Laplacian

Nonlinear Analysis: Theory, Methods & Applications, 2009

This paper concerns maximization of the first eigenvalue in problems involving the bi-Laplacian u... more

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Boundary behaviour for solutions of elliptic singular equations with a gradient term

Nonlinear Analysis: Theory, Methods & Applications, 2008

Optimization problems for an elastic plate

Journal of Mathematical Physics, 2006

This paper concerns optimization problems related to bi-harmonic equations subject to either Navi... more This paper concerns optimization problems related to bi-harmonic equations subject to either Navier or Dirichlet homogeneous boundary conditions. Physically, in dimension two, our equation models the deformation of an elastic plate which is either hinged or clamped along the boundary, under load. We discuss existence, uniqueness, and properties of the optimizers.

Extensions of a theorem of Cauchy–Liouville

Journal of Mathematical Analysis and Applications, 2010

is a continuous function in (0, ∞), p > 1 and f (t) is a smooth function for t > 0. Under appropr... more

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Balanced metrics on

Journal of Geometry and Physics, 2007

Let g be a Kähler metric on C n and let H Φ be the complex Hilbert space consisting of global hol... more

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Boundary behaviour for solutions of elliptic singular equations with a gradient term

by Fabrizio Cuccu and Ester Giarrusso

Nonlinear Analysis Theory Methods Applications, Dec 1, 2008

Nonlinear Elastic Membranes Involving the P-Laplacian Operator

Download

Symmetry breaking in the minimization of the first eigenvalue for the composite clamped punctured disk

by Fabrizio Cuccu and Claudia Anedda

Applicationes Mathematicae, 2015

Boundary estimates for solutions to singular elliptic equations

by Fabrizio Cuccu and Claudia Anedda

ABSTRACT

Optimization in a problem of heat conduction

ABSTRACT

Optimization in eigenvalue problems

Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

ABSTRACT

Steiner symmetry in the minimization of the first eigenvalue in problems involving the $p$-Laplacian

Proceedings of the American Mathematical Society, 2015

Optimization problems for some functionals related to solutions of PDE’s

International Journal of Pure and Applied Mathematics

... Kathmandu University Kathmandu, NEPAL e-mail: [email protected] Abstract: We investigate maxima... more

Estimates for solutions to nonlinear degenerate elliptic equations

Optimization of the energy integral in two classes of rearrangements

Symmetry breaking in the minimization of the second eigenvalue for composite membranes

by Fabrizio Cuccu and Claudia Anedda

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2015

Minimization of the first eigenvalue in problems involving the bi-laplacian

by Fabrizio Cuccu, Claudia Anedda, and G. Porru

Revista de Matemática: Teoría y Aplicaciones, 2009

Download

Estimates for solutions to optimization problems on elliptic equations

Symmetry of solutions to optimization problems related to partial differential equations

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2006

ABSTRACT

Optimization problems on general classes of rearrangements

Nonlinear Analysis: Theory, Methods & Applications, 2011

Download

Maximization of the first eigenvalue in problems involving the bi-Laplacian

Nonlinear Analysis: Theory, Methods & Applications, 2009

This paper concerns maximization of the first eigenvalue in problems involving the bi-Laplacian u... more

Download

Boundary behaviour for solutions of elliptic singular equations with a gradient term

Nonlinear Analysis: Theory, Methods & Applications, 2008

Optimization problems for an elastic plate

Journal of Mathematical Physics, 2006

Extensions of a theorem of Cauchy–Liouville

Journal of Mathematical Analysis and Applications, 2010

is a continuous function in (0, ∞), p > 1 and f (t) is a smooth function for t > 0. Under appropr... more

Download

Balanced metrics on

Journal of Geometry and Physics, 2007

Let g be a Kähler metric on C n and let H Φ be the complex Hilbert space consisting of global hol... more

Download

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