THE EXISTENCE OF ONE NON-TRIVIAL WEAK SOLUTION OF GENERALIZED YAMABE EQUATIONS

被引：2

作者：

Bouali, T. ^{[1
,2
]}

Guefaifia, R. ^{[2
]}

Choucha, A. ^{[3
]}

Boulaaras, S. ^{[4
]}

Abdalla, M. ^{[5
,6
]}

机构：

[1] Jazen Univ, Dept Math, Coll Sci, POB 277, Jazen, Saudi Arabia

[2] Larbi Tebessi Univ, Lab Math Informat & Syst, Tebessa 12000, Algeria

[3] Univ El Oued, Fac Exact Sci, Dept Math, Lab Operator Theory & PDEs Fdn & Applicat, Box 789, El Oued 39000, Algeria

[4] Qassim Univ, Dept Math, Coll Arts & Sci, ArRass, Buraydah, Saudi Arabia

[5] King Khalid Univ, Coll Sci, Dept Math, Abha 61413, Saudi Arabia

[6] South Valley Univ, Dept Math, Fac Sci, Qena 83523, Egypt

来源：

MISKOLC MATHEMATICAL NOTES | 2022年 / 23卷 / 01期

关键词：

Yamabe problem; Emden-Fowler equation; sublinear eigenvalue problem; one non-trivial solutions; Riemannian manifolds; COMPACT RIEMANNIAN-MANIFOLDS;

D O I：

10.18514/MMN.2022.3751

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we study the nonlinear problem on compact d-dimensional (d >= 3) Riemannian manifolds with respect to absence of boundary. The existence of one non-trivial weak solution is established, and its application to solve Emden-Fowler equations which contain infinity nonlinear terms. We also introduce an example to illustrate the results obtained, which can be applied to many of the problems resulting in astrophysics, conformal Riemannian geometry, gas combustion, isothermal stationary gas sphere and in the theory of thermionic emission.

引用

页码：117 / 129

页数：13

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