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摘要
In this article, we study the biharmonic elliptic problem with the secondnd Hessian @@@ Delta(2)u = S-2 (D(2)u) + lambda f (x) vertical bar u vertical bar(p-1) u, in Omega subset of R-3, @@@ u = partial derivative u/partial derivative n = 0, on partial derivative Omega, @@@ where f(x) is an element of C((Omega) over bar) is a sign-changing weight function. By using variational methods and some properties of the Nehari manifold, we prove that the biharmonic elliptic problem has at least two nontrivial solutions.
