Multiple Positive Solutions of Semilinear Biharmonic Equations with Critical Sobolev Exponents and Concave-Convex Terms

In this project, we will investigate the following semilinear biharmonic equation involving concave-convex nonlinearities whereΩis a smooth bounded domain inRN (N ? 5), 1 ＜ q ＜ 2 ＜ p = 2?, 2? = 2N N􀀀4 denotes the critical Sobolev exponent, ? ＞ 0 is a parameter, and f is a non-negative continuous weight function on ? Ω. We will hope to obtain the existence and multiplicity results of positive solutions to the equation (E?f ) for sufficiently small ? when f satisfies some suitable hypothesis.

Project ID:PA10607-0826
External Project ID:MOST106-2115-M182-002