MMN-3751
The existence of one non-trivial weak solution of generalized Yamabe equations
T. Bouali; R. Guefaifia; A. Choucha; S. Boulaaras; M. Abdalla;Abstract
In this work, we are interested to study the nonlinear problem on compact $d$-dimensional with respect to absence of ($d\geq 3$) Riemannian manifolds. The existence of one non-trivial weak solution is established, and its application to solve of Emden Fowler equations which contain at infinity nonlinear terms. We also introduced an example to illustrate the results obtained, which applies to many of the problems resulting in astrophysics, conformal Riemannian geometry, gas combustion, isothermal stationary gas sphere and in the theories of thermionic emission.
Vol. 23 (2022), No. 1, pp. 117-129
DOI: 10.18514/MMN.2022.3751