3 citations · 8 across the 15 of their papers we have counts for
5 papers · 2 filters
The second Yamabe invariant with singularities
Mohammed Benalili, Hichem Boughazi
Let (M,g) be a compact manifold of dimension n greater or equals to 3. We suppose that g is a given metric in a precised Sobolev space and there is a point P in M and d>o such that…
Elliptic Singular Fourth Order Equations
Mohammed Benalili, Kamel Tahri
Using a method developped in [1] and [2], we prove the existence of weak non trivial solutions to fourth order elliptic equations with singularities and with critical Sobolev growt…
Multiple solutions to singular fourth order elliptic equations
Mohammed Benalili, Kamel Tahri
Using the method of Nehari manifold, we prove the existence of at least two distinct weak solutions to elliptic equation of four order with singulatities and with critical Sobolev…
F-Harmonic maps as global maxima
Mohammed Benalili Hafida Benallal
In this note, we show that some F-harmonic maps into spheres are global maxima of the variations of their energy functional on the conformal group of the sphere. Our result extends…
Some properties of F-harmonic maps
Mohammed Benalili, Hafida Benallal
In this note, we investigate estimates of the Morse index for F-harmonic maps into spheres, our results extend partially those obtained in ([14]) and ([15]) for harmonic and p-harm…