Full Professor, Università di Napoli "Federico II"

Email: francesco.solombrino AT unina.it

Home-page: https://www.docenti.unina.it/francesco.solombrino

orcid id: 0000-0003-4251-3851

Available papers (52):

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• S. Almi - D. Reggiani - F. Solombrino (Calculus of Variations and Partial Differential Equations)
  Lower semicontinuity and relaxation for free discontinuity functionals with non-standard growth (2024)
• C. Leone - G. Scilla - F. Solombrino - A. Verde (Preprint)
  Strong existence for free-discontinuity problems with non-standard growth (2024)
• F. Anceschi - G. Ascione - D. Castorina - F. Solombrino (Journal of Mathematical Analysis and Applications)
  Well-posedness of Kolmogorov-Fokker-Planck equations with unbounded drift (2024)
• R. Marziani - F. Solombrino (Proceedings of the Royal Society Edinburgh Sect. A)
  Non-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisation (2024)
• S. Almi - M. Caponi - M. Friedrich - F. Solombrino (Accepted Paper: Mathematische Annalen)
  A fractional approach to strain-gradient plasticity: beyond core-radius of discrete dislocations (2024)
• S. Almi - R. Durastanti - F. Solombrino (Preprint)
  A Pontryagin Maximum Principle for agent-based models with convex state space (2024)
• G. Di Fratta - F. Solombrino (Proceedings of the American Mathematical Society)
  Korn and Poincaré-Korn inequalities: A different perspective (2024)
• S. Almi - C. D'Eramo - M. Morandotti - F. Solombrino (Milan Journal of Mathematics)
  Mean-field limits for entropic multi-population dynamical systems (2023)
• S. Almi - M. Caponi - M. Friedrich - F. Solombrino (Preprint)
  Geometric rigidity on Sobolev spaces with variable exponent and applications (2023)
• F. Riva - G. Scilla - F. Solombrino (Preprint)
  Inertial Balanced Viscosity (IBV) solutions to infinite-dimensional rate-independent systems (2023)
• S. Almi - M. Morandotti - F. Solombrino (Journal of Differential Equations)
  Optimal control problems in transport dynamics with additive noise (2023)
• C. Leone - G. Scilla - F. Solombrino - A. Verde (ESAIM: Control, Optimisation and Calculus of Variations)
  Regularity of minimizers for free-discontinuity problems with $p(\cdot)$-growth (2023)
• S. Almi - D. Reggiani - F. Solombrino (Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM))
  Brittle membranes in finite elasticity (2023)
• G. Scilla - F. Solombrino - B. Stroffolini (Calculus of Variations and Partial Differential Equations)
  Integral representation and $\Gamma$-convergence for free-discontinuity problems with $p(\cdot)$-growth (2023)
• G. Lazzaroni - R. Molinarolo - F. Riva - F. Solombrino (Interfaces Free Bound.)
  On the wave equation on moving domains: regularity, energy balance and application to dynamic debonding (2023)
• S. Almi - D. Reggiani - F. Solombrino (Preprint)
  Geometric rigidity for incompatible fields in the multi-well case and an application to strain-gradient plasticity (2023)
• G. Ascione - D. Castorina - F. Solombrino (Siam Journal on Mathematical Analysis)
  Mean field sparse optimal control of systems with additive white noise (2023)
• M. Friedrich - M. Perugini - F. Solombrino (Indiana University Mathematics Journal)
  $Γ$-convergence for free-discontinuity problems in linear elasticity: Homogenization and relaxation (2023)
• F. Riva - G. Scilla - F. Solombrino (Adv. Calc. Var.)
  The notions of Inertial Balanced Viscosity and Inertial Virtual Viscosity solution for rate-independent systems (2023)
• F. Farroni - G. Scilla - F. Solombrino (Math. Eng.)
  On some non-local approximation of nonisotropic Griffith-type functionals (2022)
• G. Lazzaroni - R. Molinarolo - F. Solombrino (Nonlinear Anal.)
  Radial solutions for a dynamic debonding model in dimension two (2022)
• G. Albi - S. Almi - M. Morandotti - F. Solombrino (Applied Mathematics and Optimization)
  Mean-field selective optimal control via transient leadership (2022)
• G. Scilla - F. Solombrino (NoDEA Nonlinear Differential Equations Appl.)
  Non-local approximation of the Griffith functional (2021)
• M. Friedrich - M. Perugini - F. Solombrino (Journal of Functional Analysis)
  Lower semicontinuity for functionals defined on piecewise rigid functions and on $GSBD$ (2021)
• S. Almi - M. Morandotti - F. Solombrino (Journal of Evolution Equations)
  A multi-step Lagrangian scheme for spatially inhomogeneous evolutionary games (2021)
• M. Friedrich - F. Solombrino (Archive for Rational Mechanics and Analysis)
  Functionals defined on piecewise rigid functions: Integral representation and $\Gamma$-convergence (2020)
• M. Morandotti - F. Solombrino (SIAM J. Math. Anal.)
  Mean-field analysis of multi-population dynamics with label switching (2020)
• V. Crismale - G. Scilla - F. Solombrino (Calc. Var. Partial Differential Equations)
  A derivation of Griffith functionals from discrete finite-difference models (2020)
• V. Crismale - M. Friedrich - F. Solombrino (Advances in Calculus of Variations)
  Integral representation for energies in linear elasticity with surface discontinuities (2020)
• G. Albi - M. Bongini - F. Rossi - F. Solombrino (Mathematical Models and Methods in Applied Sciences)
  Leader formation with mean-field birth and death models (2019)
• G. Scilla - F. Solombrino (J. Differential Equations)
  A variational approach to the quasistatic limit of viscous dynamic evolutions in finite dimension (2019)
• M. Friedrich - F. Solombrino (Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire)
  Quasistatic crack growth in 2d-linearized elasticity (2018)
• G. Scilla - F. Solombrino (Nonlinearity)
  Multiscale analysis of singularly perturbed finite dimensional gradient flows: the minimizing movement approach (2018)
• G. Scilla - F. Solombrino (Asymptot. Anal.)
  Delayed loss of stability in singularly perturbed finite-dimensional gradient flows (2018)
• M. Cicalese - M. Ruf - F. Solombrino (Zeitschrift für Angewandte Mathematik und Physik (ZAMP))
  Hemihelical local minimizers in prestrained elastic bi-strips (2017)
• M. Artina - F. Cagnetti - M. Fornasier - F. Solombrino (Mathematical Models and Methods in Applied Sciences )
  Linearly Constrained Evolutions of Critical Points and an Application to Cohesive Fractures (2017)
• M. Bongini - M. Fornasier - F. Rossi - F. Solombrino (Journal of Optimization Theory and Applications)
  Mean-field Pontryagin Maximum Principle (2017)
• M. Cicalese - M. Ruf - F. Solombrino (Calc. Var Pdes)
  On global and local minimizers of prestrained thin elastic rods (2017)
• M. Cicalese - M. Ruf - F. Solombrino (Mathematical Models and Methods in Applied Sciences )
  Chirality transitions in frustrated $S^{2}$-valued spin systems (2016)
• M. Cicalese - F. Solombrino (Journal of Nonlinear Science)
  Frustrated ferromagnetic spin chains: a variational approach to chirality transitions (2015)
• A. Braides - M. Cicalese - F. Solombrino (SIAM J. Math. Anal.)
  Q-tensor continuum energies as limits of head-to-tail symmetric spins systems (2015)
• F. Solombrino (Mathematische Nachrichten)
  A-priori time regularity estimates and a simplified proof of existence in perfect plasticity (2015)
• M. Fornasier - F. Solombrino (ESAIM: Control, Optimization and Calculus of Variations)
  Mean Field Optimal Control (2014)
• F. Solombrino (Arch. Rat. Mech. Anal.)
  Quasistatic evolution in perfect plasticity for general heterogeneous materials. (2014)
• M. Fornasier - R. March - F. Solombrino (Annali di Matematica Pura e Applicata)
  Existence of minimizers of the Mumford-Shah functional with singular operators and unbounded data (2013)
• M. Fornasier - F. Solombrino - M. Artina (SIAM J. Optim.)
  Linearly constrained nonsmooth and nonconvex minimization (2013)
• G. Dal Maso - A. DeSimone - F. Solombrino (Calc Var PDEs)
  Quasistatic evolution for Cam-Clay plasticity: properties of the viscosity solution (2012)
• G. Dal Maso - A. DeSimone - F. Solombrino (Calc Var PDEs)
  Quasistatic evolution for Cam-Clay plasticity: a weak formulation via viscoplastic regularization and time rescaling (2011)
• F. Solombrino (Ph.D. Thesis)
  Rescaled viscosity solutions of a quasistatic evolution problem in non-associative plasticity (2010)
• G. Dal Maso - F. Solombrino (Netw. Heterog. Media)
  Quasistatic evolution for Cam-Clay plasticity: the spatially homogeneous case (2010)
• F. Solombrino (Discrete Contin. Dyn. Syst. Ser. A.)
  Quasistatic evolution for plasticity with softening: the spatially homogeneous case (2010)
• F. Solombrino (Journal of convex analysis )
  Quasistatic evolution problems for nonhomogeneous elastic plastic materials (2009)

Speaker:

• 24 jun 2024 - 28 jun 2024: Vito Volterra Meeting in Calculus of Variations 2024
• 6 jun 2024 - 7 jun 2024: Calculus of Variations and Nonlinear Analysis in the Applied Sciences
• 20 feb 2023 - 24 feb 2023: Between Regularity and Defects: Variational and Geometrical Methods in Materials Science
• 16 may 2022 - 20 may 2022: Beyond Elasticity: Advances and Research Challenges
• 28 oct 2019 - 31 oct 2019: Calculus of Variations and Applications in Trani
• 14 sep 2017 - 15 sep 2017: Workshop "Calculus of Variations and Partial Differential Equations"
• 13 feb 2017 - 16 feb 2017: Miniworkshop on dislocations, plasticity, and fracture
• 1 jul 2015 - 3 jul 2015: Trends in Non-Linear Analysis 2015
• 4 sep 2012 - 7 sep 2012: Meeting on Applied Mathematics and Calculus of Variations

Organizer:

• 21 feb 2024 - 23 feb 2024: Variational models in Materials Science-II
• 22 jan 2024 - 26 jan 2024: Modeling, analysis, and control of multi-agent systems across scales
• 20 sep 2023 - 22 sep 2023: Variational models for material failure
• 8 feb 2023 - 10 feb 2023: Variational models in Materials Science
• 27 jan 2020 - 1 feb 2020: Calculus of Variations and Applications (on the occasion of Gianni Dal Maso's birthday)
• 3 sep 2018 - 7 sep 2018: Advanced School on Theories and Applications of Liquid Crystals