Abstract
In the present paper, in view of the variational approach, we discuss the Neumann problems with indefinite weight and p(x)-Laplacian-like operators, originated from a capillary phenomena. Under certain assumptions, we prove the existence of infinitely many nontrival solutions of the problem.
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This work is supported by the National Natural Science Foundation of China (no. 11201095), the Youth Scholar Backbone Supporting Plan Project of Harbin Engineering University (no. 307201411008), the Fundamental Research Funds for the Central Universities, the Postdoctoral research startup foundation of Heilongjiang (no. LBH-Q14044), and the Science Research Funds for Overseas Returned Chinese Scholars of Heilongjiang Province (no. LC201502).
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Qing-Mei, Z., Ke-Qi, W. Infinitely Many Solutions for p(x)-Laplacian-Like Neumann Problems with Indefinite Weight. Mediterr. J. Math. 16, 58 (2019). https://doi.org/10.1007/s00009-019-1339-5
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DOI: https://doi.org/10.1007/s00009-019-1339-5