Selected Publications

  • C. Constanda: A Mathematical Analysis of Bending of Plates with Transverse Shear Deformation, Longman-Wiley, Harlow-New York, 1990.
  • C. Constanda: Direct and Indirect Boundary Integral Equation Methods, Chapman & Hall/CRC, Boca Raton, FL, 1999.
  • I. Chudinovich and C. Constanda: Variational and Potential Methods in the Theory of Bending of Plates with Transverse Shear Deformation, Chapman & Hall/CRC, Boca Raton, FL, 2002.
  • I. Chudinovich and C. Constanda: Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes, Springer, London, 2004.
  • S. Pomeranz, G. Lewis, and C. Constanda: Iterative solution of a singular convection-diffusion perturbation problem, J. Appl. Math. Phys. 56 (2005), 890-907.
  • I. Chudinovich, C. Constanda, D. Doty, and A. Koshchii: Dual methods for sensor testing of industrial containers. II. A nonclassical approach, in Computational Advances in Multi-Sensor Adaptive Processing, IEEE, 2005, pp. 74-76.
  • I. Chudinovich, C. Constanda, D. Doty, and A. Koshchii: Nonclassical dual methods in equilibrium problems for thin elastic plates, Quart. J. Mech. Appl. Math. 59 (2006), 125-137.
  • I. Chudinovich, C. Constanda, D. Doty, W. Hamill, and S. Pomeranz: On a boundary value problem for the plane deformation of a thin plate on an elastic foundation, in Proceedings of the Thirteenth International Symposium on Methods of Discrete Singularities in Problems of Mathematical Physics, Khar’kov-Kherson, 2007, pp. 358-361.
  • I. Chudinovich, C. Constanda, D. Doty, W. Hamill, and S. Pomeranz: The Dirichlet problem for the plane deformation of a thin plate on an elastic foundation, in Integral Methods in Science and Engineering: Techniques and Applications, Birkhäuser, Boston, 2008, pp. 83-88.
  • I. Chudinovich, C. Constanda, D. Doty, W. Hamill, and S. Pomeranz: The Dirichlet problem for a plate on an elastic foundation, Libertas Math. 30 (2010), 81-84.
  • I. Chudinovich, C. Constanda, D. Doty, and A. Koshchii: Solution estimates in classical bending of plates, in Integral Methods in Science and Engineering, vol. 2: Computational Methods, Birkhäuser, Boston, 2010, pp. 113-120.
  • G.R. Thomson and C. Constanda: The direct method for harmonic oscillations of elastic plates with Robin boundary conditions, Math. Mech. Solids 16 (2010), 200-207.
  • G.R. Thomson and C. Constanda: Stationary Oscillations of Elastic Plates. A Boundary Integral Equation Analysis, Birkhäuser, Boston, 2011.
  • I. Chudinovich, C. Constanda, D. Doty, and A. Koshchii: Bilateral estimates for the solutions of boundary value problems in Kirchhoff’s theory of thin plates, Applicable Anal. 91 (2012), 1661-1674.
  • G.R. Thomson and C. Constanda: The null-field equations for flexural oscillations of elastic plates, Math. Methods Appl. Sci. 35 (2012), 510-519.
  • G.R. Thomson and C. Constanda: Integral equations of the first kind in the theory of oscillating plates, Applicable Anal. 91 (2012), 2235-2244.
  • G.R. Thomson and C. Constanda: The transmission problem for harmonic oscillations of thin plates, IMA J. Appl. Math. 78 (2013), 132-145.
  • C. Constanda: Mathematical Methods for Elastic Plates, Springer, London, 2014.
  • C. Constanda, D. Doty, and W. Hamill: Bending of Plates on an Elastic Foundation, Springer, New York, 2017.
  • M. Dalla Riva and P. Musolino: A mixed problem for the Laplace operator in a domain with moderately close holes, Comm. Partial Diff. Equations 41 (2016), 812-837.
  • M. Costabel, M. Dauge, M. Dalla Riva, and P. Musolino: Converging expansions for Lipschitz self-similar perforations of a plane sector, Integral Equations Operator Theory 88 (2017), 401-449.
  • O. Bernardi and M. Dalla Riva: Analytic dependence on parameters for Evans’ approximated weak KAM solutions, Discr. Continuous Dynamical Syst. 37 (2017), 4625-4636.