Elliptic equation with critical and negative exponents involving the GJMS operator on compact Riemannian manifolds

Benalili Mohammed; Zouaoui Ali

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Elliptic equation with critical and negative exponents involving the GJMS operator on compact Riemannian manifolds

机译：具有临界和负指数的椭圆方程，涉及Compact Riemannian歧管上的GJMS操作员

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In this paper we consider an elliptic equation with critical and negative exponents involving the GJMS (Graham-Jenne-Mason-Sparling) operator of order k on n-dimensional compact Riemannian manifolds with 2k < n. Multiplicity and nonexistence results are established. (C) 2019 Elsevier B.V. All rights reserved.

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来源
《Journal of geometry and physics》 |2019年第2019期|共18页
作者
Benalili Mohammed; Zouaoui Ali;
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作者单位

Univ UABB Fac Sci Dept Math Tilimsen Algeria;

Univ UABB Fac Sci Dept Math Tilimsen Algeria;

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原文格式 PDF
正文语种 eng
中图分类数学物理方法;几何、拓扑;
关键词
GJMS operator; Critical Sobolev growth; Negative exponents;

机译：GJMS运营商;关键的SoboLev增长;负指数;

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专利

1. Elliptic equation with critical and negative exponents involving the GJMS operator on compact Riemannian manifolds [J] . Benalili Mohammed, Zouaoui Ali Journal of geometry and physics . 2019,第期

机译：具有临界和负指数的椭圆方程，涉及Compact Riemannian歧管上的GJMS操作员
2. Nodal solutions for elliptic equation involving the GJMS operators on compact manifolds [J] . Complex variables and elliptic equations . 2019,第9a12期

机译：椭圆方程的节点解决方案，涉及紧凑型歧管上的GJMS算子
3. Nonlinear elliptic equations with critical Sobolev exponent on compact riemannian manifolds [J] . Zindine Djadli Calculus of variations and partial differential equations . 1999,第4期

机译：紧黎曼流形上具有临界Sobolev指数的非线性椭圆方程
4. On singular elliptic equations involving critical Sobolev exponent [C] . K Tahri PMNP . 2014

机译：关于涉及关键SoboLev指数的奇异椭圆方程
5. Critical exponent elliptic equations: Gluing and the moving sphere method. [D] . Xu, Haoyuan. 2007

机译：临界指数椭圆方程：胶合和运动球面法。
6. EIGENFUNCTION EXPANSIONS FOR SINGULAR ELLIPTIC OPERATORS. II. THE HILBERT SPACE ARGUMENT; PARABOLIC EQUATIONS ON OPEN MANIFOLDS [O] . Felix E. Browder 1954

机译：奇异椭圆算子的本征函数展开式。二。希尔伯特空间论证；开流形上的抛物线方程
7. Nonlinear elliptic equations involving critical Sobolev exponent on compact riemannian manifolds in presence of symmetries [O] . Djadli Zindine 1999

机译：紧致黎曼流形上具有临界Sobolev指数的非线性椭圆方程

Elliptic equation with critical and negative exponents involving the GJMS operator on compact Riemannian manifolds

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