Το work with title Elliptic problems involving the p(x)-Laplacianwith competing nonlinearities by Kandylakis Dimitrios, Sidiropoulos Nikos is licensed under Creative Commons Attribution 4.0 International
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
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