Researcher, IAC/CNR

Email: giovanni.franzina AT cnr.it

Available papers (23):

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• G. Franzina (Preprint)
  An overdetermined problem in 2D linearised hydrostatics (2024)
• G. Franzina - B. Volzone (Preprint)
  Large time behavior of fractional porous media equation (2023)
• N. Apollonio - D. De Canditiis - G. Franzina - P. Stolfi - G. L. Torrisi (Preprint)
  Normal approximation of random Gaussian neural networks (2023)
• G. Franzina - D. Licheri (Preprint)
  A non-local semilinear eigenvalue problem (2022)
• G. Franzina (Preprint)
  Electromagnetic hypogene co-sesmic sources (2021)
• G. Franzina (Preprint)
  Fractional semilinear eigenvalues (2021)
• L. Brasco - G. De Philippis - G. Franzina (Accepted Paper: Comm. Partial Differential Equations)
  Positive solutions to the sublinear Lane-Emden equation are isolated (2021)
• E. Francini - G. Franzina - S. Vessella (SIAM Journ. of Math. Analysis)
  Existence and Regularity of Eddy Currents System with non-smooth conductivity (2020)
• L. Brasco - G. Franzina (Accepted Paper: Rendiconti Sem. Mat. Univ. Pol. Torino)
  An overview on constrained critical points of Dirichlet integrals (2019)
• G. Franzina (Applicable Analysis)
  Non-local Torsion functions and Embeddings (2018)
• G. Dal Maso - G. Franzina - D. Zucco (Nonlinear Analysis)
  Transmission conditions obtained by homogenisation (2018)
• L. Brasco - G. Franzina (Accepted Paper: Adv. Nonlinear Anal.)
  A pathological example in Nonlinear Spectral Theory (2017)
• L. Brasco - G. Franzina - B. Ruffini (J. Funct. Anal.)
  Schrödinger operators with negative potentials and Lane-Emden densities (2017)
• G. De Philippis - G. Franzina - A. Pratelli (Journal of Geometric Analysis)
  Existence of isoperimetric sets with densities ''converging from below'' on $\mathbb R^N$ (2016)
• G. Franzina - G. Palatucci (Riv. Mat. Univ. Parma)
  Fractional $p$-eigenvalues (2014)
• L. Brasco - G. Franzina (Kodai Math. J.)
  Convexity properties of Dirichlet integrals and Picone-type inequalities (2014)
• G. Franzina - P. Lindqvist (Nonlinear Analysis)
  An eigenvalue problem with variable exponents (2013)
• G. Franzina - E. Valdinoci (Springer INdAM Series)
  Geometric analysis of fractional phase transition interfaces (2012)
• L. Brasco - G. Franzina (Manuscripta Math.)
  On the Hong-Krahn-Szego inequality for the $p-$Laplace operator (2012)
• L. Brasco - G. Franzina (Arch. Math.)
  A note on positive eigenfunctions and hidden convexity (2012)
• G. Franzina (Phd Thesis)
  Existence, Uniqueness, Optimization and Stability for low Eigenvalues of some Nonlinear Operators (2012)
• L. Brasco - G. Franzina (NoDEA)
  An anisotropic eigenvalue problem of Stekloff type and weighted Wulff inequalities (2012)
• G. Franzina - P. D. Lamberti (Elec. Journ. of Diff. Eqns. )
  Existence and uniqueness for $p$-Laplacian nonlinear eigenvalue problems (2010)

Seminars:

• 10 apr 2019: Semilinear eigenvalue problems for the Dirichlet Laplacian
• 16 jun 2014: The isoperimetric problem with densities

Speaker:

• 11 apr 2024 - 12 apr 2024: Calculus of Variations and Free Boundary Problems VIII
• 11 dec 2017 - 13 dec 2017: Mini-conference in PDEs
• 16 jun 2014 - 20 jun 2014: Isoperimetric Problems Between Analysis and Geometry
• 20 feb 2014 - 21 feb 2014: Workshop on Partial Differential Equations and Applications

Organizer:

• 25 oct 2016 - 28 oct 2016: Workshop in Geometric Measure Theory, Shape Optimisation and Free Boundaries