p_n-harmonic functions with continuous unbounded exponents p_n converging uniformly to infinity converge to the viscosity solution of a suitable limiting operator.
and Pokorn´ y, D.,On geometric properties of the spacesLp(·)(Ω),Rev
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Limit as $p(x)\rightarrow \infty$ of $p(x)$-Harmonic functions for unbounded $p(x)$
p_n-harmonic functions with continuous unbounded exponents p_n converging uniformly to infinity converge to the viscosity solution of a suitable limiting operator.