Infinitely Many Solutions for a Fourth-order Kirchhoff Type Elliptic Problem


Authors

M. Massar - Department of Mathematics, University Mohamed I, Oujda, Morocco. E. M. Hssini - Department of Mathematics, University Mohamed I, Oujda, Morocco. N. Tsouli - Department of Mathematics, University Mohamed I, Oujda, Morocco. M. Talbi - CRMEF, Oujda, Morocco.


Abstract

This paper studies the existence of infinitely many solutions for a fourth-order Kirchhoff type elliptic problem\[ \begin{cases} \Delta\left(|\Delta u |^{p-2}\Delta u\right)-\left[M\left[\int_\Omega |\nabla u |^p dx\right]\right]^{p-1} \Delta_pu+\rho| u|^{p-2}u=\lambda f(x,u),\,\,\,\,\, \texttt{in} \Omega,\\ u=\Delta u=0,\,\,\,\,\, \texttt{on} \partial \Omega. \end{cases} \] Our technical approach is based on Ricceri's principle variational.


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ISRP Style

M. Massar, E. M. Hssini, N. Tsouli, M. Talbi, Infinitely Many Solutions for a Fourth-order Kirchhoff Type Elliptic Problem, Journal of Mathematics and Computer Science, 8 (2014), no. 1, 33 - 51

AMA Style

Massar M., Hssini E. M., Tsouli N., Talbi M., Infinitely Many Solutions for a Fourth-order Kirchhoff Type Elliptic Problem. J Math Comput SCI-JM. (2014); 8(1):33 - 51

Chicago/Turabian Style

Massar, M., Hssini, E. M., Tsouli, N., Talbi, M.. "Infinitely Many Solutions for a Fourth-order Kirchhoff Type Elliptic Problem." Journal of Mathematics and Computer Science, 8, no. 1 (2014): 33 - 51


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