Abstract
Let (M, g) be a smooth compact n-dimension Riemannian manifold. We are concerned with the existence of sign-changing blow-up solutions to the following elliptic problem [EQUATION PRESENTED] is the Laplace-Beltrami operator on M, h is a C1 function on M, ε is a small real parameter such that ε goes to 0.
| Original language | English |
|---|---|
| Pages (from-to) | 4159-4197 |
| Number of pages | 39 |
| Journal | International Mathematics Research Notices |
| Volume | 2019 |
| Issue number | 13 |
| DOIs | |
| Publication status | Published - 1 Jul 2019 |
Bibliographical note
Funding Information:The research of the first author has been supported by NSFC No. 11501469 and Fundamental Research Funds for the Central Universities XDJK2017B014. The research of the second author has been partly supported by Fondecyt Grant 1160135 and Millennium Nucleus Center for Analysis of PDE, NC130017. The research of J.W. is partially supported by NSERC of Canada.
Publisher Copyright:
© 2017 The Author(s). Published by Oxford University Press. All rights reserved.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
Funding
The research of the first author has been supported by NSFC No. 11501469 and Fundamental Research Funds for the Central Universities XDJK2017B014. The research of the second author has been partly supported by Fondecyt Grant 1160135 and Millennium Nucleus Center for Analysis of PDE, NC130017. The research of J.W. is partially supported by NSERC of Canada.
ASJC Scopus subject areas
- General Mathematics