Academic Staff

Luigi Montoro

Email:montoro[AT]mat.unical.it

Expertise:
Nonlinear analysis, nonlinear PDE, critical point theory, variational methods.

Research:
My primary research interest is focused in the study of nonlinear partial differential equations. In particular:

• Existence of the solutions.
• Quasilinear elliptic equations.
• Fully nonlinear uniformly elliptic equations.
• Geometric and qualitative properties of the solutions.
• Hardy potential.
• Liouville type theorems.
• Local and global existence of solutions to the nonlinear p-heat equation.
• Finite speed of propagation and extinction in finite time.
• Moving plane method; p-Laplacian operator.
• Nonlocal problems.
• Higher order nonlocal problems.
• Singularly perturbed elliptic problems.
• Singular problems.
• Semilinear elliptic equations.
• Supercritical problems.

During the Ph.D. studies (at ‘Universidad Autonoma de Madrid (Madrid, Spain)’ and ‘SISSA (Trieste, Italy)’) I worked on perturbative problems and in particular on the Concentration and asymptotic behavior of solutions for singularly perturbed mixed problems.

Publications:

• link IRIS

Teaching - Academic Year 2019/2020:

• MATEMATICA PER L'ANALISI DEI DATI (CdS in Informatica)
• EQUAZIONI ALLE DERIVATE PARZIALI (CdS Magistrale in Matematica)
• ANALISI MATEMATICA 1 MODULO 1 (CdS in Ingegneria Meccanica)
• MODELLISTICA PER PROBLEMI DIFFERENZIALI (CdS in Ingegneria Meccanica)