Hamiltonian elliptic system involving nonlinearities with supercritical exponential growth

Leuyacc Y.R.S. · AIMS Mathematics (2023) · DOI: 10.3934/math.2023976

Resumen

In this paper, we deal with the existence of nontrivial solutions to the following class of strongly coupled Hamiltonian systems: (Formula Presented) Where w(x) = (log 1/|x|)γ, 0 ≤ γ < 1, and the nonlinearities f and g possess exponential growth ranges above the exponential critical hyperbola. Our approach is based on Trudinger-Moser type inequalities for weighted Sobolev spaces and variational methods.

Instituciones: Universidad Nacional Mayor de San Marcos