In this paper, we study the Nehari manifold and its application on the following Navier boundary value problem involving the p-biharmonic 0, on ( ) 1 ( , ) , in , 2 * 2 u u f x u u u p u u p q where is a bounded domain in RN with smooth boundary . We prove that the problem has at least two nontrivial nonnegtive solutions when the parameter belongs to a certain subset of R .
Nyamoradi, N. (2011). The Nehari manifold for a Navier boundary value problem involving the p-biharmonic. Iranian Journal of Science, 35(2), 149-155. doi: 10.22099/ijsts.2011.2138
MLA
N. Nyamoradi. "The Nehari manifold for a Navier boundary value problem involving the p-biharmonic", Iranian Journal of Science, 35, 2, 2011, 149-155. doi: 10.22099/ijsts.2011.2138
HARVARD
Nyamoradi, N. (2011). 'The Nehari manifold for a Navier boundary value problem involving the p-biharmonic', Iranian Journal of Science, 35(2), pp. 149-155. doi: 10.22099/ijsts.2011.2138
VANCOUVER
Nyamoradi, N. The Nehari manifold for a Navier boundary value problem involving the p-biharmonic. Iranian Journal of Science, 2011; 35(2): 149-155. doi: 10.22099/ijsts.2011.2138
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