Sergio Lancelotti

Sergio Lancelotti is a Tenured Researcher in the Department of Mathematical Sciences at the Polytechnic University of Turin, affiliated with the College of Mechanical, Aerospace and Automotive Engineering. His academic career spans over 25 years since obtaining his PhD in Mathematics in 1996, with consistent contributions to nonlinear analysis and partial differential equations.

Education:

• Bachelor in Mathematics from Università Cattolica del Sacro Cuore (Brescia) in 1990
• PhD in Mathematics from Università degli studi di Milano (1990-1994), formally obtained in Rome in 1996

Lancelotti's research focuses on critical point theory for non-regular functionals, semilinear and quasi-linear elliptic equations, eigenvalue problems for variational inequalities, Lagrangian systems with obstacles, and Schrödinger equations in unbounded domains. His work bridges theoretical mathematics with applications in physics and engineering, particularly through the study of nonlinear phenomena in unbounded domains.

His publication record shows consistent output over three decades, with recent work (2020-2024) focusing on normalized positive solutions for Schrödinger equations and nonlinear critical elliptic problems in unbounded domains. Earlier work (1990s-2010) established foundations in nonsmooth critical point theory, p-Laplacian problems, and variational inequalities. The research demonstrates evolution from foundational theoretical work to increasingly sophisticated applications while maintaining mathematical rigor.

Lancelotti teaches Mathematical Analysis II for Aerospace Engineering students across multiple academic years (2019/20-2025/26), demonstrating his commitment to undergraduate education while maintaining an active research program. His current research collaborations include work with R. Molle on Schrödinger equations and previous collaborations with M. Degiovanni and K. Perera on p-Laplacian problems.