Ground state solutions for Hamiltonian systems with double exponential growth

Leuyacc Y.R.S. · Boundary Value Problems (2025) · DOI: 10.1186/s13661-025-02060-4

Resumen

This study explores the existence of ground state solutions for a Hamiltonian elliptic system in the whole plane R2, 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. © The Author(s) 2025.

Instituciones: Universidad Nacional Mayor de San Marcos