Generalized Yamabe equations on Riemannian manifolds and applications to Emden-Fowler problems

被引：3

作者：

Barilla, David ^{[1
]}

Caristi, Giuseppe ^{[1
]}

Heidarkhani, Shapour ^{[2
]}

Moradi, Shahin ^{[2
]}

机构：

[1] Univ Messina, Dept Econ, Via Verdi 75, Messina, Italy

[2] Razi Univ, Dept Math, Fac Sci, Kermanshah 67149, Iran

来源：

QUAESTIONES MATHEMATICAE | 2020年 / 43卷 / 04期

关键词：

Three solutions; generalized Yamabe equations; Riemannian manifold; Emden-Fowler problem; variational methods; NONLINEAR ELLIPTIC-EQUATIONS; MULTIPLE SOLUTIONS; ASYMPTOTICS; BIFURCATION; CONVECTION;

D O I：

10.2989/16073606.2019.1583293

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish the existence of solutions and multiplicity properties for generalized Yamabe equations on Riemannian manifolds. Problems of this type arise in conformal Riemannian geometry, astrophysics, and in the theories of thermionic emission, isothermal stationary gas sphere, and gas combustion. The abstract results of this paper are illustrated with Emden-Fowler equations involving sublinear terms at infinity. Two examples reveal the analytic setting of this paper.

引用

页码：547 / 567

页数：21

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