Singular Hamiltonian elliptic systems involving double exponential growth in dimension two

Leuyacc Y.R.S. · Partial Differential Equations in Applied Mathematics (2024) · DOI: 10.1016/j.padiff.2024.100681

Resumen

In this research, we are interested to investigate the existence of nontrivial weak solutions to the following Hamiltonian elliptic system [Formula presnted] with Dirichlet boundary conditions, where a,b∈[0,2), the weight ω(x) is of logarithmic type and the nonlinearities f and g possess double exponential growth. To establish the existence of solutions, our approach involves utilizing the linking theorem and a finite-dimensional approximation.

Instituciones: Universidad Nacional Mayor de San Marcos