TY - JOUR ID - 2138 TI - The Nehari manifold for a Navier boundary value problem involving the p-biharmonic JO - Iranian Journal of Science JA - ISTT LA - en SN - 2731-8095 AU - Nyamoradi, N. AD - Department of Mathematics, Faculty of Sciences Razi University, 67149 Kermanshah, Iran Y1 - 2011 PY - 2011 VL - 35 IS - 2 SP - 149 EP - 155 KW - Multiple positive solutions KW - Nehari manifold KW - critical Sobolev exponent DO - 10.22099/ijsts.2011.2138 N2 - In this paper, we study the Nehari manifold and its application on the following Navier boundary valueproblem involving the p-biharmonic          0, on( ) 1 ( , ) , in , 2*2u uf x u u upu u p q where  is a bounded domain in RN with smooth boundary  . We prove that the problem has atleast two nontrivial nonnegtive solutions when the parameter  belongs to a certain subset of R . UR - https://ijsts.shirazu.ac.ir/article_2138.html L1 - https://ijsts.shirazu.ac.ir/article_2138_0554c0d4016795c1ca387551d2e2a89a.pdf ER -