Clustered solutions for supercritical elliptic equations on Riemannian manifolds

Abstract

Let (M,g){(M,g)} be a smooth compact Riemannian manifold of dimension n≥5{n\geq 5}. We are concerned with the following elliptic problem:

Keywords

• clustered solutions
• supercritical elliptic equation on manifolds,lyapunov–schmidt reduction procedure
• 58g03
• 58e30