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

Project: National Science and Technology CouncilNational Science and Technology Council Academic Grants

Project Details


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 IDs

Project ID:PA10607-0826
External Project ID:MOST106-2115-M182-002
Effective start/end date01/08/1731/07/18


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