Hamiltonian elliptic systems in dimension two with potentials which can vanish at infinity

Sérgio H.Monari Soares, Yony R.Santaria Leuyacc

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

2 Citas (Scopus)

Resumen

We will focus on the existence of nontrivial solutions to the following Hamiltonian elliptic system {-Δu + V (x)u = g(v), x ∈ R2, - Δv + V (x)v = f(u), x ∈ R2, where V is a positive function which can vanish at infinity and be unbounded from above and f and g have exponential growth range. The proof involves a truncation argument combined with the linking theorem and a finite-dimensional approximation.

Idioma originalInglés
Número de artículo1750053
PublicaciónCommunications in Contemporary Mathematics
Volumen20
N.º8
DOI
EstadoPublicada - 1 dic. 2018

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