9 papers
A variational approach to the quaternionic Hessian equation
Hichame Amal, Saïd Asserda, Mohamed Barloub
In this paper, we introduce finite energy classes of quaternionic -plurisubharmonic functions of Cegrell type and define the quaternionic -Hessian operator on some Cegrell's…
The Hessian equation in quaternionic space
Hichame Amal, Saïd Asserda, Mohamed Barloub
In this paper, we introduce -subharmonic functions in quaternionic space , we define the quaternionic Hessian operator and solve the homogeneous Dirichlet proble…
Some applications of Projective Logarithmic Potentials
Saïd Asserda, Fatima Zahra Assila
We continue the study in \cite{As18, AAZ18} by giving a multitude of applications of projective logarithmic potentials. First we introduce the notions of projective logarithmic ene…
Projective Logarithmic Potentials
Said Asserda, Fatima-Zahra Assila, Ahmed Zeriahi
We study the projective logarithmic potential of a Probability measure on the complex projective space equiped with the Fubini-Study metric . We prove that t…
A note on Bernstein property of a fourth order complex partial differential equations
Said Asserda
For a smooth strictly plurisubharmonic function on a open set and a nondecreasing function on , we investigate the comp…
Liouville-type results for stationary maps of a class of functional related to pullback metrics
Said Asserda
We study a generalized functional related to the pullback metrics (3). We derive the first variation formula which yield stationary maps. We introduce the stress-energy tensor whic…