Special Session 113: New Achievements in Nonlinear PDEs and Applications

ON A CLASS OF QUASILINEAR CRITICAL SCHR\H ODINGER EQUATIONS IN $\mathbb R^N$
Roberta Filippucci
University of Perugia
Italy
Co-Author(s):    Laura Baldelli
Abstract:
In this talk, we present multiplicity results, obtained via variational tools, for solutions of generalized quasilinear Schr\H odinger potential free equations, also in the singular case, defined in the entire $\mathbb R^N$ and involving a nonlinearity which combines a power-type term at a critical level with a subcritical term, both with weights. The equation can be seen as models of several physical phenomena in plasma physics.