David Barilla

ORCID: 0000-0001-7072-1290
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About
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Research Areas
  • Nonlinear Partial Differential Equations
  • Point processes and geometric inequalities
  • Advanced Mathematical Modeling in Engineering
  • Nonlinear Differential Equations Analysis
  • Optimization and Variational Analysis
  • Advanced Optimization Algorithms Research
  • Mathematical Dynamics and Fractals
  • Analytic and geometric function theory
  • Differential Equations and Numerical Methods
  • Differential Equations and Boundary Problems
  • Stochastic processes and statistical mechanics
  • Mathematical Approximation and Integration
  • Fractional Differential Equations Solutions
  • Spectral Theory in Mathematical Physics
  • Advanced Theoretical and Applied Studies in Material Sciences and Geometry
  • Quasicrystal Structures and Properties
  • Risk and Safety Analysis
  • Geometric Analysis and Curvature Flows
  • Multi-Criteria Decision Making
  • Algebraic and Geometric Analysis
  • Mathematics and Applications
  • Risk and Portfolio Optimization
  • Aquatic and Environmental Studies
  • Optimization and Mathematical Programming
  • Safety Systems Engineering in Autonomy

University of Messina
2014-2024

Barilla (Italy)
2022

Bridge University
2022

Razi University
2022

10.1007/s13235-025-00630-w article EN Dynamic Games and Applications 2025-02-22

Boundary value problems for higher-order nonlinear differential equations have been important in the flexibility mechanics and engineering physics. By using a variational method $2$nth-order equation with Sturm-liouville operator depending on parameter $\lambda$, under some assumptions, we verify existence of at least three solutions when $\lambda$ lies two exactly determined open intervals, respectively. In our work, shall look local minima Euler functional correspondent to problem....

10.32513/asetmj/1932200825014 article EN Advanced Studies Euro-Tbilisi Mathematical Journal 2025-04-01

In some previous papers [1], [2], [3], [4] the authors studies Laplace type problems for lattice with different foundamental cell. We want to compute probability that a segment of random position and constant lenght intersects side cell rapresented in fig.1. 1 Main Results Let < (a)the fundamental C0 fig.1 790 D. Barilla, G. Caristi, E. Saitta M. Stoka

10.12988/ams.2014.37407 article EN Applied Mathematical Sciences 2014-01-01

In this paper we consider two Delone hexagonal lattices with the cell represented in gure 1 and compute probability that a segment of random position costant length (body test) intersects side lattice.

10.12988/ams.2013.35242 article EN Applied Mathematical Sciences 2013-01-01

In some previous papers [9] and [10] the authors studies same Laplace problems with different fundamental cells.In this paper we consider a lattice cell represented as in figure 1 compute probability that segment of random position constant length intersects side lattice.Then prove there are values for parameters determine which determined is maximum.

10.12988/ams.2014.37408 article EN Applied Mathematical Sciences 2014-01-01

In this paper, we provide sufficient conditions for the existence of at least three distinct non-negative weak solutions a perturbed three-point boundary value problem Kirchhoff-type. Our technical approach is based on variational methods. addition, examples are provided to illustrate our results.

10.1080/17476933.2016.1221948 article EN Complex Variables and Elliptic Equations 2016-08-24

In the previous papers, [1], [2], [3], [4], [5], [6], [7], [8], [9], authors studies some Laplace problem for different lattices. this paper we consider a regular lattice with fundamental cell an equilateral triangolar and want to determine probability that ”body test” intersects side of lattice.

10.12988/ams.2014.46423 article EN Applied Mathematical Sciences 2014-01-01

In some previous papers [1], [2], [3], [4], [5], [6], [7], [8], [9] and [10] the authors studies same Laplace problems with different fundamental cells.In this paper we consider a lattice cell represented in fig. 1 compute probability that segment of random position constant length intersects side lattice.Then prove there are values for parameters determine which determined is maximum.

10.12988/ams.2014.411916 article EN Applied Mathematical Sciences 2014-01-01

Starting from previous papers [1] [2] now we consider a lattice with the foundamental cell an irregular trapetium and compute probability that rectangul of constant dimension random position intersects side lattice. Let � (l, m; α, β) foudamental C0 tra=petium

10.12988/ams.2013.13042 article EN Applied Mathematical Sciences 2013-01-01

We investigate the existence of multiple solutions for perturbed nonlocal fourth-order equations Kirchhoff type under Navier boundary conditions. give some new criteria guaranteeing that have at least three weak by using a variational method and critical point theorems due to Ricceri. extend improve recent results. Finally, presenting two examples, we ensure applicability our

10.1186/s13661-017-0817-6 article EN cc-by Boundary Value Problems 2017-06-06

We continue the study of discrete anisotropic equations and we will provide new multiplicity results solutions for a equation. investigate existence infinitely many perturbed boundary value problem. The approach is based on variational methods critical point theory.

10.1155/2016/5676138 article EN cc-by Abstract and Applied Analysis 2016-01-01

In this paper, we establish the existence of solutions and multiplicity properties for generalized Yamabe equations on Riemannian manifolds. Problems type arise in conformal geometry, astrophysics, theories thermionic emission, isothermal stationary gas sphere, combustion. The abstract results paper are illustrated with Emden-Fowler involving sublinear terms at infinity. Two examples reveal analytic setting paper.

10.2989/16073606.2019.1583293 article EN Quaestiones Mathematicae 2019-03-25
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