F. Alessio, P. Montecchiari “Gradient Lagrangian systems and semilinear PDE”, Mathematics in Engineering ( 2021) pp. 1-28 vol. 3 (6): doi: 10.3934/mine.2021044.
F. Alessio, M.C. Brambilla, A. Calamai, C. de Fabritiis, L. Demeio, M. Franca, M., C. Marcelli… “ New Multimedia Technologies as Tools for a Modern Approach to Scientific Communication and Teaching of Mathematical Sciences”, The First Outstanding 50 Years of “Università Politecnica delle Marche” (2019) pp.393-402 DOI:10.1007/978-3-030-32762-0_23
F. Alessio, L. Demeio, A.I. Telloni “A Formative Path in Tertiary Education through GeoGebra Supporting the Students’ Learning Assessment and Awareness” DOI:10.1564/tme_v26.4.03. pp.190-202. In THE INTERNATIONAL JOURNAL FOR TECHNOLOGY IN MATHEMATICS EDUCATION (2019) pp. 190-202 vol. 26 (4)
F. Alessio, P.Montecchiari, A. Sfecci “Saddle solutions for a class of systems of periodic and reversible semilinear elliptic equations “, Journal of Networks & Heterogeneous Media (NHM) vol. 14, no. 3 (2019), pp. 567–587
F. Alessio, P. Montecchiari, A. Zuniga “Prescribed energy connecting orbits for gradient systems “, Discrete and Continuous Dynamical Systems, vol. 39, no. 8 (2019), pp. 4895–4928SCOPUS – WOS
F. Alessio, P. Montecchiari “Brak e orbit solutions for semiline ar elliptic systems with asymme tric double w ell p otential “, J. Fixed Point Theory and Applications, vol. 19, Issue 1 (2017), pp. 691-717 SCOPUS
F. Alessio, C. Gui, P. Montecchiari “Saddle solutions to Allen-Cahn equations in doubly periodic media” Indiana University Mathematics Journal, vol. 65 (1) (2016), pp. 199-221 SCOPUS
F. Alessio, G. Autuori, P. Montecchiari “Saddle type solutions for a class of reversible elliptic equations” Adv. in Differential Equations vol. 21 (1-2) (2016), pp. 1-30 SCOPUS — ISI-WoS
F. Alessio, P. Montecchiari “Multiplicity of layered solutions for Allen-Cahn systems with symmetric double well potential” , J. Differential Equations 257 (2014), pp. 4572-4599, DOI: 10.1016/j.jde.2014.09.001 SCOPUS —ISI-WoS
F. Alessio, P. Montecchiari “An energy constrained method for the existence of layered type solutions of NLS equations” SCOPUS — ISI-WoS
F. Alessio “Stationary layered solutions for a system of Allen-Cahn type equations” , SCOPUS — ISI-WoS
F. Alessio, P. Montecchiari “Saddle solutions for bistable symmetric semilinear elliptic equations” , Nonlinear Differential Equations and Applications, vol. 20, Issue 3 (2013), pp 1317-1346, DOI: 10.1007/s00030-012-0210-1. SCOPUS — ISI-WoS
F. Alessio, P. Montecchiari “Layered solutions with multiple asymptotes for non autonomous Allen-Cahn equations in R3” , Calculus of Variations and PDE’s, vol. 46, Issue 3-4 (2013) pp 591-622, DOI 10.1007/s00526-012-0495-2 SCOPUS — ISI-WoS
F. Alessio “Periodic and Heteroclinic type solutions for systems of Allen-Cahn equations” SCOPUS
F. Alessio, P. Montecchiari “Brake orbits type solutions to some class of semilinear elliptic equations” , Calculus of Variations and PDE’s vol. 30, No. 1 (2007), pagg. 51-83, DOI 10.1007/s00526-012-0495-2. SCOPUS — ISI-WoS
F. Alessio, A. Calamai, P. Montecchiari “Saddle type solutions to a class of semilinear elliptic equations” , SCOPUS
F. Alessio, P. Montecchiari “Multiplicity of entire solutions for a class of almost periodic Allen-Cahn type equations” Advanced Nonlinear Studies, vol.5 n.4 (2005), pp. 515-549. SCOPUS — ISI-WoS
F. Alessio, P. Montecchiari “Entire solutions in R2 for a class of Allen-Cahn equations” ESAIM: COCV, vol.11 (2005), pp. 633-672, DOI:10.1051/cocv:2005023. SCOPUS — ISI-WoS
F. Alessio, V. Coti Zelati, P. Montecchiari “Chaotic behaviour of rapidly oscillating Lagrangian systems” Discrete and Continuous Dynamical Systems, vol. 10, no. 3 (2004), pp. 687–707, DOI:10.3934/dcds.2004.10.687 SCOPUS — ISI-WoS
F. Alessio, P. Montecchiari, L. Jeanjean “Existence of infinitely many stationary layered solutions in R2 for a class of periodic Allen-Cahn equations” Communication on PDE’s, vol. 27, no. 7 & 8 (2002) pp. 1537–1574. SCOPUS — ISI-WoS
F. Alessio, M. Calanchi, E. Serra “Complex dynamics in a class of reversible equations” Nonlinear analysis and its applications to differential equations. Papers from the autumn school on nonlinear analysis and differential equations, Lisbon, Portugal, 1998 in Prog. Nonlinear Differ. Equ. Appl. vol. 43 (2001), pp. 147-159.
F. Alessio, P. Caldiroli, P. Montecchiari “Infinitely many solutions for a class of semilinear elliptic equations in RN” SCOPUS — ISI-WoS
F. Alessio, P. Montecchiari, L. Jeanjean “Stationary layered solutions in R2 for a class of non autonomous Allen-Cahn equations” Calculus of Variations and PDE’s, vol. 11 (2000), pp. 177–202. SCOPUS — ISI-WoS
F. Alessio, M. L. Bertotti, P. Montecchiari “Multibump solutions to possibly degenerate equilibria for almost periodic Lagrangian systems” ZAMP, vol. 50 (1999), pp. 860-891. SCOPUS — ISI-WoS
F. Alessio, W. Dambrosio “Multiple solutions to a Dirichlet problem on bounded symmetric domains” SCOPUS — ISI-WoS
F. Alessio, C. Carminati, P. Montecchiari “Heteroclinic motions joining almost periodic solutions for a class of Lagrangian systems” Discrete and Continuous Dynamical Systems, vol. 5 (1999), pp. 569–584. SCOPUS — ISI-WoS
F. Alessio “Slow oscillation potentials and multibump dynamics for a class of Lagrangian systems” Boll. dell’Unione Matematica Italiana, vol. 2A, supp. S (1999), pp. 67-70. SCOPUS — ISI-WoS
F. Alessio, P. Caldiroli, P. Montecchiari “Genericity of the multibump dynamics for almost periodic Duffing-like systems” SCOPUS — ISI-WoS
F. Alessio, P. Montecchiari “Multibump solutions for a class of Lagrangian systems slowly oscillating at infinity” Annales de l’IHP – Non Linear Analysis, vol. 16 (1999), pp. 107–135. SCOPUS — ISI-WoS
F. Alessio, P. Caldiroli, P. Montecchiari “On the existence of homoclinic orbits for the asymptotically periodic Duffing equation” SCOPUS — ISI-WoS
F. Alessio, P. Caldiroli, P. Montecchiari “On the existence of infinitely many solutions for a class of semilinear elliptic equations in RN” SCOPUS
F. Alessio, P. Caldiroli, P. Montecchiari “Genericity of the existence of infinitely many solutions for a class of semilinear elliptic equations in RN” SCOPUS — ISI-WoS
F. Alessio, M. Calanchi “Homoclinic-type solutions for an almost periodic semilinear elliptic equation on Rn” SCOPUS
F. Alessio “Homoclinic solutions for second order systems with expansive time dependence”
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