Abstract
AbstractWe will focus on the existence of nontrivial solutions to the following Hamiltonian elliptic system urn:x-wiley:0025584X:media:mana201700215:mana201700215-math-0001where are numbers belonging to the interval [0, 2), V is a continuous potential bounded below on by a positive constant and the functions f and g possess exponential growth range established by Trudinger–Moser inequalities in Lorentz–Sobolev spaces. The proof involves linking theorem and a finite‐dimensional approximation.
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