I am interested in nonlinear functional analysis and its applications to particular problems, e.g., the solvability of certain nonlinear boundary value problems from partial differential equations. Currently, I am mainly concerned with fractional diffusions that arise in the study of models from Levy processes and have proved an approximation result for the first eigenvalue of linear integro-differential operators of the fractional diffusion type.
Research Keywords & Expertise
Critical Analysis
Nonlinear Analysis
variational methods
Fractional differentia...
Brezis-Nirenberg Probl...
Short Biography
I am interested in nonlinear functional analysis and its applications to particular problems, e.g., the solvability of certain nonlinear boundary value problems from partial differential equations. Currently, I am mainly concerned with fractional diffusions that arise in the study of models from Levy processes and have proved an approximation result for the first eigenvalue of linear integro-differential operators of the fractional diffusion type.