Work

Ground state solutions for Hamiltonian systems with double exponential growth

Year: 2025
Type: article
Abstract: This study explores the existence of ground state solutions for a Hamiltonian elliptic system in the whole plane $\mathbb{R}^{2}$ , involving double exponential growth nonlinearities, which are given by the Trudinger–Moser inequalities in weighted radial Sobolev spaces. To find solutions, we apply a minimizing process on a generalized Nehari manifold.
Language: English
Open Access status: gold
Estimated APC paid: $1,890
Award: G725550222
OpenAlex ID: W4410370325
FWCI: 1.924
Cites: 43
Cited by: 1
Related to: 10