On a Hamiltonian System with Critical Exponential Growth

Yony Raul Santaria Leuyacc, Sergio H.Monari Soares

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

Resumen

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.

Idioma originalInglés
PublicaciónMilan Journal of Mathematics
DOI
EstadoAceptada/en prensa - 2019
Publicado de forma externa

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