Publications

List of publications:

  • C. Marcelli, Existence of solutions to boundary-value problems governed by general non-autonomous nonlinear differential operators, Electron. J. Diff. Equ., 2012 (2012), No. 171, pp. 1-18.
  • L. Malaguti – C. Marcelli – S. Matucci, Continuous dependence in front propagation for convective reaction-diffusion models with aggregative movements, Abs. Appl. Anal., 2011 (2011) No. 986738, 1-22.
  • G. Cupini – C. Marcelli – F. Papalini, On the solvability of a boundary value problem on the real line, Bound. Value Probl., 2011:26, (2011), 1-17.
  • L. Ferracuti – C. Marcelli – F. Papalini, Boundary value problems for highly nonlinear inclusions governed by non-surjective Φ-Laplacians, Set-Valued Var. Anal., 19 (2011), 1-21.
  • G. Cupini – C. Marcelli, Monotonicity properties of minimizers and relaxation for autonomous variational problems, ESAIM: COCV, 17 (2011), 222-242.
  • G. Cupini – C. Marcelli – F. Papalini, Heteroclinic solutions of boundary value problems on the real line involving general nonlinear differential operators, Diff. Int. Eqns., 24 (7-8) (2011), 619-644.
  • L. Malaguti – C. Marcelli – S. Matucci, Continuous dependence in front propagation of convective reaction-diffusion equations, Comm. Pure Appl. Anal., 9 (4) (2010), 1083-1098.
  • A. Calamai – C. Marcelli – F. Papalini, A general approach for front-propagation in functional reaction-diffusion equations, J. Dyn. Diff. Eqns., 21 (4) (2009), 567-593.
  • C. Marcelli – F. Papalini, Comparison results and existence of bounded solutions to strongly nonlinear second order differential equations, Top. Meth. Nonlin. Anal., 34 (2009), 91-100.
  • G. Cupini – M. Guidorzi – C. Marcelli, Existence of minimizers of free autonomous variational problems via solvability of constrained ones, Ann. Inst. H. Poincarè (C) – Anal. Nonlin., 26 (2009), 1183-1205.
  • M. Arias – J. Campos – C. Marcelli, Fastness and continuous dependence in front propagation in Fisher-KPP equations, Discr. Cont. Dyn. Syst. (B), 11 (1) (2009), 11-30.
  • L. Ferracuti – C. Marcelli – F. Papalini, Travelling waves in some reaction-diffusion-aggregation models, Adv. Dyn. Syst. Appl., 4 (1) (2009), 19-33.
  • C. Marcelli, Necessary and sufficient conditions for optimality of one-dimensional autonomous non-coercive variational problems, Trans. Amer. Math. Soc., 360 (10) (2008), 5201–5227.
  • G. Cupini – M. Guidorzi – C. Marcelli, Necessary conditions and non-existence results for autonomous nonconvex variational problems, J. Diff. Eqns., 243 (2) (2007), 329-348.
  • P.K. Maini – L. Malaguti – C. Marcelli – S. Matucci, Aggregative movements and front propagation for bistable population models, Math. Mod. Meth. Appl. Sci., 17 (9) (2007), 1351 – 1368.
  • C. Marcelli – F. Papalini, Heteroclinic connections for fully nonlinear non-autonomous second order differential equations, J. Diff. Eqns., 241 (2007), 160-183.
  • P.K. Maini – L. Malaguti – C. Marcelli – S. Matucci, Diffusion-aggregation processes with mono-stable reaction terms, Discr. Cont. Dyn. Syst. (B), 6 (5) (2006), 1175-1189.
  • L. Malaguti – C. Marcelli, Finite speed of propagation in monostable degenerate reaction-diffusion-convection equations, Adv. Nonlinear Stud., 5 (2005), 223-252.
  • L. Malaguti – C. Marcelli – N. Partsvania, On transitional solutions of second order nonlinear differential equations, J. Math. Anal. Appl., 303 (1) (2005), 258-273.
  • L. Malaguti – C. Marcelli – S. Matucci, Front propagation in bistable Reaction-Diffusion-Advection equations, Adv. Diff. Eqs., 9 (9-10) (2004), 1143-1166.
  • L. Malaguti – C. Marcelli – S. Matucci, A unifying approach to travelling wavefronts for reaction-diffusion equations arising from genetics and combustion models, Dyn. Syst. Appl., 12 (2003), 333-354.
  • C. Marcelli – F. Papalini, Heteroclinic solutions for second order non-autonomous boundary value problems on the real line, J. Diff. Eqs. Dyn. Syst., 11 (2003), 333-353.
  • L. Malaguti – C. Marcelli, Sharp profiles in degenerate and doubly-degenerate Fisher-KPP equations, J. Diff. Eqs., 195 (2) (2003), 471-496.
  • L. Malaguti – C. Marcelli, Existence and multiplicity of heteroclinic solutions for a non-autonomous boundary eigenvalue problem,  Electron. J. Diff. Eqns., 2003 (2003), No. 118, 1-21.
  • C. Marcelli, Variational problems with non-convex, non-coercive, highly discontinuous integrands: characterization and existence of minimizers, SIAM J. Contr. Optim., 40 (5) (2002), 1473-1490.
  • L. Malaguti – C. Marcelli, Travelling wavefronts for reaction-diffusion equations with convection effects and non-regular terms, Math. Nachr., 242 (2002), 148-164.
  • C. Marcelli – E. Outkine – M. Sychev, Remarks on necessary conditions for minimizers of one-dimensional variational problems, Nonlinear Anal., 48 (7) (2002), 979-993.
  • L. Malaguti – C. Marcelli, Heteroclinic orbits in plane dynamical systems, Arch. Math. (Brno),  38 (2002), 183-200.
  • B. Bianconi – C. Marcelli – M. Ragni, On the method of upper and lower solutions in Banach spaces under Caratheodory assumptions, Diff. Eqs. Dyn. Syst., 8 (3/4) (2000), 281-299.
  • L. Malaguti – C. Marcelli, Existence of bounded trajectories via upper and lower solutions, Discr. Cont. Dyn. Syst., 6 (3) (2000), 575-590.
  • C. Marcelli – A. Salvadori, Interaction among the theories of ordinary differential equations in various hereditary settings, Nonlinear Anal., 35 (1999), 1001-1017.
  • C. Marcelli – A. Salvadori, Equivalence of different hereditary structures in ordinary differential equations, J. Diff. Eqs., 149 (1998), 52-68.
  • C. Marcelli, Non-coercive variational problems with constraints on the derivatives, J. Convex Anal., 5 (1) (1998), 1-17.
  • C. Marcelli, One-dimensional non-coercive problems of the Calculus of Variations, Ann. Mat. Pura  Appl., 173 (IV) (1997), 145-161.
  • C. Marcelli – P. Rubbioni, A new extension of classical Müller’s Theorem, Nonlinear Anal., 28 (11) (1997), 1759-1767.
  • C. Marcelli – P. Rubbioni, Some results on the method of lower and upper solutions for non-compact domains, Nonlinear Anal., 30 (8) (1997),  4903-4908.
  • P. Brandi – C. Marcelli, Extremal solutions and Gronwall inequality in functional setting, Boll. Un. Mat. It., 10B (7) (1996), 233-254.
  • P. Brandi – C. Marcelli, Haar inequality in hereditary setting and applications, Rend. Sem. Mat. Univ. Padova, 96 (1996), 177-194.
  • C. Marcelli, On the method of upper and lower solutions under Carathéodory assumptions, Atti Sem. Mat. Fis. Univ. Modena, 44 (1996), 331-338.
  • P. Brandi – C. Marcelli, Uniqueness and continuous dependence for Carathéodory solutions of functional Cauchy problem, Atti Sem. Mat. Fis. Univ. Modena, 44 (1996), 13-25.
  • C. Marcelli, Comparison theorems in hereditary structures and applications, J. Math. Anal. Appl., 196 (1995), 1073-1092.
  • C. Marcelli – A. Salvadori, Remarks on growth conditions in Calculus of Variations, Atti Sem. Mat. Fis. Univ. Modena, 40 (1992), 199-214.
  • C. Marcelli – A. Salvadori, A result on equiabsolute integrability, Rend. Mat. Acc. Lincei, 9 (1) (1990), 189-194.

Publications in Conference Proceedings (refered):

  • L. Malaguti – C. Marcelli – S. Matucci, The effects of convective processes on front propagation in various reaction-diffusion equations, in Proceedings of Equadiff 2003, Hasselt (Belgium) – July 2003, 2004, 797-802 (extended abstract)
  • L. Malaguti – C. Marcelli – S. Matucci, Wave fronts in reaction-diffusion equations and upper-lower solutions method, in Folia FSN, Univ. Masar. Brunensis, Math. 10, 2003, Proc. CDDE 2002, 169-175 (extended abstract)
  • L. Malaguti – C. Marcelli, The influence of convective effects on front propagation in certain diffusive models, in Mathematical Modelling & Computing in Biology and Medicine – 5th ESMTB Conference 2002 (V. Capasso ed.), Grenoble 2003, 362-367.
  • C. Marcelli – A. Salvadori, On the equivalence of different classes of hereditary systems, Nonlinear Anal. T.M.A., 30 (6) (1997), 3903-3907 (extended abstarct).