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Journal of Applied Mathematics and Computation

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Article Open Access http://dx.doi.org/10.26855/jamc.2018.11.003

Existence and Multiplicity of Solutions for Problem on Eistein Manifold Involving GJMS Operator

Kamel Tahri

High School of Management or Abou Bekr Belkaid University, Tlemcen  (Algeria).

*Corresponding author: Kamel Tahri

Published: November 30,2018

Abstract

Let (Mn, g) be a compact Eistein Riemannian manifold of dimension n and denote by Sg the scalar curvature of g. Let k be a positive integer. We prove that n > 2k and under some geometric conditions that the elliptic equation.has two distinct solutions: one positive and other negative.


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How to cite this paper

Existence and Multiplicity of Solutions for  Problem on Eistein Manifold Involving GJMS Operator

How to cite this paper: Kamel Tahri. (2018) Existence and Multiplicity of Solutions for  Problem on Eistein Manifold Involving GJMS OperatorJournal of Applied Mathematics and Computation2(11), 513-524.

DOI: http://dx.doi.org/10.26855/jamc.2018.11.003