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  5. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.49 (2017)
  6. Dirichlet problems without asymptotic conditions on the nonlinear term
 
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Dirichlet problems without asymptotic conditions on the nonlinear term

Bonanno, Gabriele
2017
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ISSN
0049-4704
DOI
10.13137/2464-8728/16218
http://hdl.handle.net/10077/16218
  • Article

e-ISSN
2464-8728
Abstract
This paper is devoted, with my great esteem, to Jean Mawhin. Jean Mawhin, who is for me a great teacher and a very good friend, is a fundamental reference for the research in nonlinear differential problems dealt both with topological and variational methods. Here, owing to this occasion in honor of Jean Mawhin, Dirichlet problems depending on a parameter are investigated, ensuring the existence of non-zero solutions without requiring asymptotic conditions neither at zero nor at infinity on the nonlinear term which, in addition, is not forced by subcritical or critical growth. The approach is based on a combination of variational and topological tools that in turn are developed by starting from a fundamental estimate.
Journal
Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics 
Part of
49 (2017)
Subjects
  • Nonlinear eigenvalue ...

  • critical point

  • sub-super solutions

Publisher
EUT Edizioni Università di Trieste
Source
Gabriele Bonanno, "Dirichlet problems without asymptotic conditions on the nonlinear term", in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics", 49 (2017), Trieste, EUT Edizioni Università di Trieste, 2017, pp. 319-333
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
Licence
http://creativecommons.org/licenses/by-nc-nd/4.0/
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