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Sign changing solutions of the p(x)-Laplacian equation

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Abstract

This paper deals with the variational and Nehari manifold method for the p(x)-Laplacian equations in a bounded domain or in the whole space. We prove existence of sign changing solutions under certain conditions.

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Acknowledgements

This project is supported by the National Science Fund (Nos 11126286 and 11201095), the Fundamental Research Funds for the Central Universities (No. 2013), China Postdoctoral Science Foundation funded project (No. 20110491032), China Postdoctoral Science (Special) Foundation (No. 2012T50303).

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  1. Department of Mathematics, Harbin Engineering University, Harbin, 150001, People’s Republic of China

    BIN GE

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Correspondence to BIN GE.

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GE, B. Sign changing solutions of the p(x)-Laplacian equation. Proc Math Sci 123, 515–524 (2013). https://doi.org/10.1007/s12044-013-0150-7

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  • DOI: https://doi.org/10.1007/s12044-013-0150-7

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