The thesis proves existence results for quasilinear elliptic systems via variational methods, local Morse theory in Banach spaces, eigenvalue simplicity, and extensions of inequalities like Onofri and Moser-Trudinger.
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Variational and Geometric Analysis for Quasilinear Elliptic Equations and Systems
The thesis proves existence results for quasilinear elliptic systems via variational methods, local Morse theory in Banach spaces, eigenvalue simplicity, and extensions of inequalities like Onofri and Moser-Trudinger.