The asymptotic behavior of the ground state solutions for biharmonic equations

Abstract: In this paper we study the asymptotic behavior of the ground state solutions of the Hénon type biharmonic equation in , in and on , where is the unit ball in , . We prove that the ground state solution concentrates on a boundary point and has a unique maximum point as , which deduce that the ground state solution is not radially symmetric. [Copyright &y& Elsevier]