Pubblications

Radial solutions for equations ruled by Laplacian or pLaplacian

1. M. Franca, Positive solutions of semilinear elliptic equations: a dynamical approach, J.  Diff. Int. Eq., 26 (5/6), (2013), 505--554  (pdf)
2. M. Franca, Positive solutions for semilinear elliptic equations with mixed non-linearities: 2 simple models exhibiting several bifurcations, J. Dyn.  Diff. Equations,, 23, issue 3,  (2011),  573-611. (pdf)
3. M. Franca, Fowler transformation and radial solutions for quasilinear elliptic equations. Part 2: nonlinearities of mixed type, Annali Matematica Pura e Applicata,   189,  issue 1 (2010),  67--93 (pdf)
4. M. Franca, Radial ground states and singular ground states for a spatial dependent $p$-Laplace equation,   Journal Diff. Eq., 248,  (2010),  2629--2656 (pdf)
5. M. Franca, Structure theorems for positive radial solutions of the generalized scalar curvature equation,  Funkcialaj Ekvacioj,  52, issue  1 (2009),  343--369 (pdf)
6. M. Franca, Fowler transformation and radial solutions for quasilinear elliptic equations.  Part 1: the subcritical and the supercritical case.  Canadian Math. Appl. Quart. 16, (2008), 123-159. (pdf)
7. M. Franca, Non-Autonomous Quasilinear Elliptic Equations and Wazewski's principle; Topological Methods in Nonlinear Analysis, 23, (2005), 331--349. (pdf)
8. M. Franca, Ground states and singular ground states for quasilinear elliptic equations in the subcritical case; Funkcialaj Ekvacioj, 48, No 4 (2005), 415--434. (pdf)
9. M. Franca,  Some results   on the m-Laplace equations with two growth terms; J. Dynamics   Differential Equations, 17 (2005), 391--425. (pdf)
10.  M. Franca and R. Johnson,  Ground States and Singular Ground States for quasilinear partial differential equation with critical exponent, Advanced Nonlinear Studies, 4, (2004) 93--120. <(pdf)
11. M. Franca, Classification of positive solutions of  p-Laplace equation with a growth term,  Archivum Mathematicum (Brno), 40, No 4 (2004) , 415--434. (pdf)
12.  M. Franca,   A dynamical approach to the study of radial solutions for $p$-Laplace equation, Rendiconti del seminario matematico di Torino, 65, No 1 (2007) , 53-88. (articolo di tipo survey)   (pdf)

1. M. Franca, Bifurcation diagrams for singularly perturbed system: the mul-tidimensional case, Electr. J. Qual. Th. Diff. Eq.,   52 (2013), 1-36  (pdf)
2. A. Calamai, M. Franca,  Mel'nikov methods and homoclinic orbits in discontinuous systems, J. Dyn.  Diff. Equations, 25 (3), (2013), 733-764 (pdf)
   
3.  M. Franca, Bifurcation diagrams for singularly perturbed system, Electr. J. Qual. Th. Diff. Eq., No. 78 (2012),  1--23. (pdf)
4. F. Battelli, M. Feckan, M. Franca,  Periodic Solutions of a Periodically Forced and Undamped Beam  Resting on Weakly Elastic Bearings;  Z.A.M.P.  59 (2008), 212--243. (pdf)
5.  F. Battelli, M. Feckan, M. Franca,  On the chaotic behavior of a compressed beam,  Dynamics of PDE, 4, No 1 (2007), 55--86. (pdf)

1. M. Franca and R. Johnson,  Asymptotic expansion of solutions of an elliptic equation related to the non-linear Schroedinger equation, J. Dyn.  Diff. Equations,s,   15, (2003), 535--551. (pdf)