On a Hamiltonian System with Critical Exponential Growth

Yony R. Santaria Leuyacc; Sergio H. Monari Soares

doi:10.1007/s00032-019-00294-3

On a Hamiltonian System with Critical Exponential Growth

Yony R. Santaria Leuyacc, Sergio H. Monari Soares

Dynamical systems, differential equations and their applications

Research output: Contribution to journal › Article › peer-review

11 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 language	English
Pages (from-to)	105-140
Number of pages	36
Journal	Milan Journal of Mathematics
Volume	87
Issue number	1
DOIs	https://doi.org/10.1007/s00032-019-00294-3
State	Published - Jun 2019

Bibliographical note

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© 2019 Springer Nature Switzerland AG.

Keywords

Hamiltonian elliptic systems
Lorentz–Sobolev spaces
exponential growth

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10.1007/s00032-019-00294-3

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AB - 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.

KW - Hamiltonian elliptic systems

KW - Lorentz–Sobolev spaces

KW - exponential growth

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On a Hamiltonian System with Critical Exponential Growth

Abstract

Bibliographical note

Keywords

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