Abstract
The present paper is devoted to explore the variational principles for nonlinear topological pressure, which was introduced by Buzzi, Kloeckner and Leplaideur recently. We apply the Carathéodory structure to the theory of nonlinear topological pressure and introduce several types of nonlinear topological pressures for subsets. Based on this, we develop several variational principles in different forms for the nonlinear topological pressures, some of which are even new for the case of topological entropy.
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