New Type of Sign-Changing Blow-up Solutions for Scalar Curvature Type Equations

Shengbing Deng, Monica Musso, Juncheng Wei

Research output: Contribution to journalArticlepeer-review

8 Citations (SciVal)

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 languageEnglish
Pages (from-to)4159-4197
Number of pages39
JournalInternational Mathematics Research Notices
Volume2019
Issue number13
DOIs
Publication statusPublished - 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

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