Sergio Segura de Leon

Sergio Segura de León is a full Professor in the Faculty of Mathematics at the University of Valencia, Spain. He is affiliated with the Department of Mathematical Analysis and is a member of the EDPNOL (Nonlinear Partial Differential Equations) research group. He obtained his PhD from the University of Valencia in 1988.

• PhD: University of Valencia, 1988

His primary research interests lie in nonlinear partial differential equations, particularly focusing on elliptic and parabolic equations involving the p-Laplacian and 1-Laplacian operators, singular terms, gradient growth, and asymptotic behavior as p → 1. His work combines deep analytical techniques from functional analysis, operator theory, and calculus of variations. Applications of his research include image processing, such as MRI denoising, and geometric problems like inverse mean curvature flow.

The 15 most recent publications highlight a consistent trend in studying singular limits (especially p → 1), existence and uniqueness of solutions for equations with L1 or measure data, and problems with nonlinear boundary conditions such as Robin or absorption terms. The research spans theoretical analysis of eigenvalues, Gelfand-type problems, and evolution equations, often involving variational methods and renormalized or entropy solutions.

No scientific awards are explicitly mentioned in the provided text.

Sergio Segura de León has collaborated extensively with leading researchers including Fuensanta Andreu, José M. Mazón, Daniela Giachetti, Anna Mercaldo, and Cristina Trombetti. His work has been supported by various national and international research projects, though specific grants are not detailed. He has advised PhD students, contributing to the training of new researchers in nonlinear PDEs.

He is a key member of the EDPNOL research group, which focuses on the analysis and applications of nonlinear partial differential equations, particularly those arising in physics, engineering, and image processing.