Normalized solutions to the Chern–Simons–Schrödinger system: the supercritical case

We are concerned with the existence of normalized solutions for a class of generalized Chern–Simons–Schrödinger type problems with supercritical exponential growth (Formula presented.) where a≠0, λ∈R is known as the Lagrange multiplier and f∈C1(R) denotes the nonlinearity that fulfills the supercritical exponential growth in the Trudinger–Moser sense at infinity. Under suitable assumptions, combining the constrained minimization approach together with the homotopy stable family and elliptic regular theory, we obtain that the problem has at least a ground state solution.