Sign-changing Bubble Towers for Asymptotically Critical Elliptic Equations on Riemannian Manifolds
نویسنده
چکیده
Given a smooth compact Riemannian n–manifold (M, g), we consider the equation ∆gu+ hu = |u| ∗−2−ε u, where h is a C–function on M , the exponent 2∗ := 2n/ (n− 2) is the critical Sobolev exponent, and ε is a small positive real parameter such that ε→ 0. We prove the existence of blowing-up families of sign-changing solutions which develop bubble towers at some point where the function h is greater than the Yamabe potential n−2 4(n−1) Scalg.
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