Abstract
In this paper, based on the theory of variable exponent space, we study a class of minimizing problem on Nehari manifold via concentration compactness principle. Under suitable assumptions, by showing a relative compactness of minimizing sequences, we prove the existence of minimizers.
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Communicated by J. Escher.
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Zhang, X. A minimization problem with variable growth on Nehari manifold. Monatsh Math 181, 485–500 (2016). https://doi.org/10.1007/s00605-016-0944-7
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DOI: https://doi.org/10.1007/s00605-016-0944-7