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Elliptic problems involving the p(x)-Laplacianwith competing nonlinearities

Kandylakis Dimitrios, Sidiropoulos Nikos

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URI: http://purl.tuc.gr/dl/dias/81FF3F63-A137-439D-979F-6BC741EBF037
Year 2011
Type of Item Peer-Reviewed Journal Publication
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Bibliographic Citation D.A. Kandilakis, N. Sidiropoulos," Elliptic problems involving the p(x)-Laplacian with competing nonlinearities," Journal of Mathematical Analysis and Applications , vol. 379, no. 1, pp. 378-387, 2011. doi: 10.1016/j.jmaa.2011.01.041 https://doi.org/10.1016/j.jmaa.2011.01.041
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Summary

By using the fibering method we study the existence of nonnegative solutions for the elliptic problem −p(x)u=−λa(x)|u|p(x)−2u+μb(x)|u|q(x)−2u−εc(x)|u|t(x)−2u inΩ, u=0on∂Ω, whereΩ⊆RN is a bounded domain, a(.), b(.), c(.) are essentially bounded functions and p(.), q(.), t(.) are continuous on Ω

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