Parcourir Publications scientifiques par sujet "Critical Sobolev exponent"

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Nonhomogeneous elliptic equations involving critical Sobolev exponent and weight

Bouchekif, Mohammed; Rimouche, Ali (Electronic Journal of Differential Equations, 2016-01-01)

In this article we consider the problem− div (p (x)∇ u)=| u| 2∗− 2u+ λf in Ω u= 0 on∂ Ω where Ω is a bounded domain in RN, We study the relationship between the behavior of p near its minima on the existence of solutions.
On nonhomogeneous elliptic equations with critical Sobolev exponent and prescribed singularities

Bouchekif, Mohammed; Messirdi, Sofiane (Taiwanese Journal of Mathematics, 2016)

In this paper we consider a class of nonhomogeneous elliptic equations involving multi-polar Hardy type potentials and a Sobolev critical nonlinearity in an open domain of , . By Ekeland's Variational Principle and the ...

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