Aleks Jevnikar

Associate Professor Aleks Jevnikar is affiliated with the Department of Mathematical, Computer and Physical Sciences at the University of Udine. His research focuses on advanced topics in mathematical analysis, particularly partial differential equations (PDEs), geometric analysis, and mathematical physics. He is active in areas including Liouville-type equations, Toda systems, mean field equations, and curvature prescription on manifolds with singularities. His work often intersects with plasma physics and nonlinear analysis, addressing free boundary problems and blow-up phenomena. Contact him via aleks.jevnikar@uniud.it or visit his website at https://sites.google.com/site/ajevnika/.

Key research interests include:

• Analysis of nonlinear PDEs with applications in geometry and physics
• Study of Toda systems and Liouville equations with singularities
• Curvature prescription problems on surfaces with conical singularities
• Free boundary problems arising in plasma physics
• Uniqueness and non-degeneracy of solutions to nonlinear systems
• Bifurcation theory and global solution diagrams

In recent years, his contributions have addressed cutting-edge topics such as sharp estimates for superlinear free boundary problems, eigenvalue analysis of Liouville-type systems, and the interplay between geometric structures and PDE solutions. His articles often explore existence, uniqueness, and qualitative properties of solutions, contributing to both theoretical advancements and applications in mathematical physics.

No scientific awards are listed in the provided information. His advising and grant activities are not detailed here, though his research indicates strong engagement in collaborative projects. Further details about his academic contributions can be found on his personal website.