Pubblicazioni
Pubblicazioni edite su riviste internazionali
- B. Allal and G. Fragnelli, Controllability of degenerate parabolic equation with memory, Math. Methods Appl. Sci. 44 (2021), 9163–9190.
- B. Allal, G. Fragnelli and J. Salhi, Null controllability for the singular heat equation with a memory term, Electron. J. Qual. Theory Differ. Equ. 2021 (2021), 1–24.
- M. Almousa, J. Assettini, M. Gallo and M. Squassina, Concavity properties for quasilinear equations and optimality remarks, Differential Integral Equations 37 (1-2) (2024), 1-26.
- D. Arcoya and C. Sportelli, Relativistic equations with singular potentials, Z. Angew. Math. Phys.74 (2023), Paper No. 91, 22 pp.
- R. Bartolo, A.M. Candela and A. Salvatore,Multiple solutions for perturbed quasilinear elliptic problems, Topol. Methods Nonlinear Anal. 61, No. 1 (2023), 549–574.
- I. Boutaayamou and G. Fragnelli, A degenerate population system: Carleman estimates and controllability, Nonlinear Anal. 195 (2020), Article 111742.
- A. Camasta and G. Fragnelli, Fourth-order differential operators with interior degeneracy and generalized Wentzell boundary conditions, Electron. J. Differ. Equ. 2022 (2022), 1-22.
- A. Camasta and G. Fragnelli, Boundary controllability for a degenerate beam equation, Math. Meth. Appl. Sci. (2023), 1-21.
- A. Camasta and G. Fragnelli, A stability result for a degenerate beam equation, SIAM J. Control Optim. (in stampa)
- A.M. Candela, G. Fragnelli and D. Mugnai, Quasilinear problems without the Ambrosetti-Rabinowitz condition, Minimax Theory Appl. 6 (2021), 239-250.
- M. Candela, K. Perera and C. Sportelli, On a class of supercritical N-Laplacian problems, Nonlinear Anal. Real World Appl. 71 (2023), Article 103817
- A. M. Candela and A. Salvatore, Existence of radial bounded solutions for some quasilinear elliptic equations in RN, Nonlinear Anal. 191(2020), Article 111625.
- A.M. Candela, A. Salvatore and C. Sportelli, Existence and multiplicity results for a class of coupled quasilinear elliptic systems of gradient type, Adv. Nonlinear Stud. 21 (2021), 461-488.
- M. Candela, A. Salvatore and C. Sportelli, Bounded solutions for quasilinear modified Schrödinger equations, Calc. Var. Partial Differential Equations 61 (6) (2022), Article 220.
- M. Candela and C. Sportelli, Soliton solutions for quasilinear modified Schrödinger equations in applied sciences,Discrete Contin. Dyn. Syst. Ser. S 15 (12) (2022), 3557-3570.
- M. Candela and C. Sportelli, Multiple solutions for coupled gradient-type quasilinear elliptic systems with supercritical growth, Ann. Mat. Pura Appl. 201 (5) (2022), 2341–2369.
- M. Candela and C. Sportelli, Nontrivial solutions for a class of gradient-type quasilinear elliptic systems, Topol. Methods Nonlinear Anal. 59 (2) (2022), 957–986.
- W. Chen, S. Lucente and A. Palmieri, Nonexistence of global solutions for generalized Tricomi equations with combined nonlinearity, Nonlinear Anal. Real World Appl. 61 (2021) 103354.
- F. Chiarello, G. Girardi and S. Lucente, Fujita modified exponent for scale invariant damped semilinear wave equations, J. Evol. Equ. 21 (2021), 2735-2748.
- S. Cingolani, D. Bonheure and S. Secchi, Concentration phenomena for the Schrödinger-Poisson system in R2, Discrete Contin. Dyn. Syst. Ser. S 14 (2021), 1631-1648.
- S. Cingolani and M. Gallo, On the fractional NLS equation and the effects of the potential well’s topology, Adv. Nonlinear Stud. 21 (2021), 1-40.
- Cingolani and M. Gallo, On some qualitative aspects for doubly nonlocal equations, Discrete Contin. Dyn. Syst. Ser. S 15 (12) (2022), 3603-3620.
- Cingolani, M. Gallo and K. Tanaka, Normalized solutions for fractional nonlinear scalar field equations via Lagrangian formulation, Nonlinearity 34 (2021), 4017-4056.
- S. Cingolani, M. Gallo and K. Tanaka, Symmetric ground states for doubly nonlocal equations with mass constraint, Symmetry 13 (2021), 1199.
- Cingolani, M. Gallo and K. Tanaka, Multiple solutions for the nonlinear Choquard equation with even or odd nonlinearities, Calc. Var. Partial Differential Equations 61 (2022), pp. 34.
- Cingolani, M. Gallo and K. Tanaka, On fractional Schrödinger equations with Hartree type nonlinearities, Math. Eng. 4 (2022), 1-33.
- S. Cingolani, M. Gallo and K. Tanaka, Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities, Adv. Nonlinear Stud. (to appear).
- S. Cingolani and K. Tanaka, Semi-classical states for the nonlinear Choquard equations: existence, multiplicity and concentration at a potential well, Rev. Mat. Iberoam. 35 (2019), 1885-1924
- S. Cingolani and K. Tanaka, Deformation argument under PSP condition and applications, Anal. Theory Appl. 37(2021), 191-208.
- S. Cingolani and K. Tanaka, Semi-classical Analysis around Local Maxima and Saddle Points for Degenerate Nonlinear Choquard Equations, J. Geom. Anal. 33:316 (2023)
- S. Cingolani and T. Weth, Trudinger-Moser type inequality with logarithmic convolution potentials, J. London Math. Soc. 105 (2022), 1897 –1935.
- F. Esposito, L. Selicato and C. Sportelli, Theoretical aspects in penalty hyperparameters optimization. Mediterr. J. Math. 20 (2023), Paper No. 300, 13 pp.
- G. Fragnelli, Controllability for a population equation with interior degeneracy, Pure and Applied Functional Analysis4 (2019), 803-824
- G. Fragnelli, Null controllability for a degenerate population model in divergence from via Carleman estimates, Adv. Nonlinear Anal. 9 (2020), 1102-1129.
- G. Fragnelli, J.A. Goldstein, R.M. Mininni and S. Romanelli, Operators of order 2n with interior degeneracy, Discrete Contin. Dyn. Syst. Ser. S 13 (2020), 3417-3426.
- G. Fragnelli and D. Mugnai, Turing patterns for a coupled two-cell generalized Schnakenberg model, Complex Var. Elliptic Equ. 65 (2020), 1343-1359.
- G. Fragnelli and D. Mugnai, Singular parabolic equations with interior degeneracy and non smooth coefficients: the Neumann case, Discrete Contin. Dyn. Syst. Ser. S 13 (2020), 1495-1511.
- G. Fragnelli and M. Yamamoto, Carleman estimates and controllability for a degenerate structured population model, Appl. Math. Optim. 84 (2021), 999-1044.
- M. Gallo, Asymptotic decay of solutions for sublinear fractional Choquard equations, Nonlinear Analysis (to appear), pp. 32.
- S. Lucente and A. Palmieri, A blow-up result for a generalized Tricomi equation with nonlinearity of derivative type, Milan J. Math. 89 (2021), 45-57.
- F. Mennuni and A. Salvatore, Existence of minimizers for a quasilinear elliptic system of gradient type, Discrete Contin. Dyn. Syst. Ser. S 15 (2022), 3745–3763.
- F. Mennuni and A. Salvatore, Generalized quasilinear elliptic equations in IRN, Mediterr. J. Math. 20, No. 205 (2023), 27 pp.
- K.Perera and C. Sportelli, New linking theorems with applications to critical growth elliptic problems with jumping nonlinearities, J. Differential Equations 349 (2023), 284–317
- K. Perera and C. Sportelli, A multiplicity result for critical elliptic problems involving differences of local and nonlocal operators, Topol. Methods Nonlinear Anal. (in stampa) arXiv.2210.14230
- A. Salvatore and C. Sportelli, On existence and multiplicity of solutions for generalized (p, q)–Laplacian equations on unbounded domains, Adv. Differential Equations (in stampa)
Capito di libro con referee
- R. Bartolo, A.M. Candela and A. Salvatore, An existence result for perturbed (p,q)-quasilinear elliptic problems, In: “Recent Advances in Mathematical Analysis” (A.M. Candela, M. Cappelletti Montano & E. Mangino Eds), 135-164,Trends Math., Birkhäuser Cham, 2023.
- A. Camasta and G. Fragnelli, A degenerate operator in non divergence form, In: “Recent Advances in Mathematical Analysis” (A.M. Candela, M. Cappelletti Montano & E. Mangino Eds), 209-235, Trends Math., Birkhäuser Cham, 2023.
- A. Camasta and G. Fragnelli, Degenerate fourth order parabolic equations with Neumann boundary conditions, In: “Analysis and Numerics of Design, Control and Inverse Problems” (G. Floridia & E. Zuazua Eds), Springer INdAM Series, Springer Singapore (in stampa)
- S. Cingolani and K. Tanaka, Ground state solutions for the nonlinear Choquard equation with prescribed mass, In: “Geometric Properties for Parabolic and Elliptic PDE’s” (V. Ferone, T. Kawakami, P. Salani & F. Takahashi Eds), 23 - 42, Springer INdAM Series 47, Springer Singapore 2021.
- S- Cingolani and K. Tanaka, A Deformation Theory in Augmented Spaces and Concentration Results for NLS Equations Around Local Maxima, In: “Recent Advances in Mathematical Analysis” (A.M. Candela, M. Cappelletti Montano & E. Mangino Eds), 309-331, Trends Math., Birkhäuser Cham, 2023.
- V. Georgiev and S. Lucente, Quasilinear Wave Equations with Decaying Time-Potential, In: “Qualitative Properties of Dispersive PDEs” (V. Georgiev, A. Michelangeli & R. Scandone Eds), 187-204, Springer INdAM Series 52, Springer Singapore, 2022.
- F. Mennuni and A. Salvatore, Existence of bounded solutions for a weighted quasilinear elliptic equation in IRN, In: “Recent Advances in Mathematical Analysis” (A.M. Candela, M. Cappelletti Montano & E. Mangino Eds), 371-395, Trends Math., Birkhäuser Cham, 2023.
Monografia con riferimento al PRIN
- G. Fragnelli and D. Mugnai, Control of degenerate and singular parabolic equation, BCAM SpringerBrief, ISBN 978-3-030-69348-0, 2021
Articoli sottomessi per la pubblicazione su riviste con referee
- M. Candela, G. Ruiz Goldstein, J.A. Goldstein and S. Romanelli, Chaos for generalized Black-Scholes equations. Preprint (sottomesso per la pubblicazione)
- F. Esposito, L. Selicato and C. Sportelli, Estimating penalty hyperparameter in Nonnegative Matrix Factorization with Hilbert spaces representation. Preprint (sottomesso per la pubblicazione)
- F. Mennuni and A. Salvatore, Radial bounded solutions for modified Schrödinger equations, Preprint (sottomesso per la pubblicazione)
- G. Molica Bisci, K. Perera, R. Servadei and C. Sportelli, Nonlocal critical growth elliptic problems with jumping nonlinearities. Preprint (sottomesso per la pubblicazione)
- A. Camasta, G. Fragnelli, New results on controllability and stability for degenerate Euler-Bernoulli type equations (sottomesso per la pubblicazione)
Tesi di dottorato con tematiche collegate al progetto:
- tesi di dottorato “Solutions of Nonlinear PDEs: Variational and Topological Approaches” di Caterina Sportelli (XXXV ciclo, Dottorato di Ricerca in Informatica e Matematica, Università degli Studi di Bari Aldo Moro, titolo conseguito il 21 marzo 2023), advisor Anna Maria Candela e co-advisor Kanishka Perera (Florida Institute of Technology, Melbourne, FL, USA)
- tesi di dottorato “Nonlocal Elliptic PDEs with General Nonlinearities” di Marco Gallo (XXXV ciclo, Dottorato di Ricerca in Informatica e Matematica, Università degli Studi di Bari Aldo Moro, titolo conseguito il 21 marzo 2023), advisor Silvia Cingolani e co-advisor Denis Bonheure (University Librè de Bruxelles, Bruxelles, Belgio)
- tesi di dottorato “Quasilinear Elliptic Variational Problems” di Federica Mennuni (XXXVI ciclo, Dottorato di Ricerca in Informatica e Matematica, Università degli Studi di Bari Aldo Moro, titolo da conseguire entro marzo 2024), advisor Addolorata Salvatore
- tesi di dottorato che Alessandro Camasta presenterà nell’ambito del progetto “Degenerate Operators and Controllability Problems of the Associated Evolution Equations” (XXXVII ciclo, Dottorato di Ricerca in Informatica e Matematica, Università degli Studi di Bari Aldo Moro, titolo da conseguire entro marzo 2025), advisor Genni Fragnelli
