On a Hamiltonian System with Critical Exponential Growth

Yony R.Santaria Leuyacc, Sergio H.Monari Soares

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We are interested in finding nontrivial solutions for a Hamiltonian elliptic system in dimension two involving a potential function which can be coercive and nonlinearities that have maximal growth with respect to the Trudinger–Moser inequality. To establish the existence of solutions, we use variational methods combined with Trudinger–Moser type inequalities in Lorentz–Sobolev spaces and a finite-dimensional approximation.

Original languageEnglish
JournalMilan Journal of Mathematics
DOIs
StateAccepted/In press - 2019
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2019, Springer Nature Switzerland AG.

Keywords

  • Hamiltonian elliptic systems
  • Lorentz–Sobolev spaces
  • exponential growth

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