Nonlinear Partial differential equations and inequalities: Theory and applications
Scientific-Disciplinary Group
01/MATH-03 - Mathematical Analysis, Probability And Mathematical Statistics
Description
The aim of the project is to address the study of certain problems modeled by nonlinear partial differential equations and inequalities, both in the scalar and in the vectorial case, which arise in all areas of the natural sciences, physics and chemistry, in particular ranging historically from well-known problems in geometry and mechanics to more recent applications in the medical field and plasma physics.Some of the topics of interest on which the project will focus are the following:• existence and multiplicity of solutions to problems involving quasilinear operators, with both standard and non-standard growth, defined either on the whole space or on bounded domains; nonlinearities that are critical, subcritical, and also of exponential type, as well as possibly degenerate or singular weights; a priori estimates and nonexistence of solutions for elliptic equations and inequalities including even gradient-type nonlinearities
Working time
Other
Number of positions
1
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