3 papers
math.AP2023
On eigenvalues problems for the -Laplacian
Aboubacar Marcos, Janvier Soninhekpon
This paper studies nonlinear eigenvalues problems with a double non homogeneity governed by the -Laplacian operator, under the Dirichlet boundary condition on a bounded domai…
math.AP2023
On the existence and regularity of an optimal shape for the non-linear first eigenvalue problem with Dirichlet condition
Rocard Michel Gouton, Aboubacar Marcos, Diaraf Seck
We study a shape optimization problem associated with the first eigenvalue of a nonlinear spectral problem involving a mixed operator (Laplacian and Laplacian) with a constrain…
math.AP2019
Finsler structure for variable exponent Wasserstein space and gradient flows
Aboubacar Marcos, Ambroise Soglo
In this paper, we propose a variational approach based on optimal transportation to study the existence and unicity of solution for a class of parabolic equations involving -…