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Positive solutions to indefinite problems: a topological approach

Candidate: 
Guglielmo Feltrin
Supervisor: 
Fabio Zanolin
Academic Year: 
2015-2016
Research Group: 
Mathematical Analysis, Modelling, and Applications
Present Position: 
Postdoc
Université de Mons, Mons (Belgium)
File: 
PDF icon Thesis_Feltrin.pdf
Publication Related to the Thesis: 
  • G. Feltrin, F. Zanolin, Multiple positive solutions for a superlinear problem: a topological approach, J. Differential Equations 259 (2015) 925-963.
  • G. Feltrin, F. Zanolin, Existence of positive solutions in the superlinear case via coincidence degree: the Neumann and the periodic boundary value problems, Adv. Differential Equations 20 (2015) 937-982.
  • G. Feltrin, Existence of positive solutions of a superlinear boundary value problem with indefinite weight, Discrete Contin. Dyn. Syst. (Dynamical systems, differential equations and applications. 10th AIMS Conference. Suppl.) (2015) 436-445.
  • A. Boscaggin, G. Feltrin, F. Zanolin, Pairs of positive periodic solutions of nonlinear ODEs with indefinite weight: a topological degree approach for the super-sublinear case, Proc. Roy. Soc. Edinburgh Sect. A 146 (2016) 449-474.
  • G. Feltrin, A note on a fixed point theorem on topological cylinders, Ann. Mat. Pura Appl., to appear.
  • G. Feltrin, F. Zanolin, Multiplicity of positive periodic solutions in the superlinear indefinite case via coincidence degree, submitted.
  • A. Boscaggin, G. Feltrin, F. Zanolin, Positive solutions for super-sublinear indefinite problems: high multiplicity results via coincidence degree, Trans. Amer. Math. Soc., to appear.
  • A. Boscaggin, G. Feltrin, Positive subharmonic solutions to nonlinear ODEs with indefinite weight, submitted.
  • G. Feltrin, Multiple positive solutions of a Sturm-Liouville boundary value problem with conflicting nonlinearities, submitted.
  • G. Feltrin, F. Zanolin, An application of coincidence degree theory to cyclic feedback type systems associated with nonlinear differential operators, submitted.

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