Tuesday, September 15, 2026 — 11:30 am — laboratorio M0.1, edificio Matematica
Anisotropic quasilinear elliptic systems involving nonlinearities with negative critical terms
Abstract: In this talk we present some results of existence and multiplicity of solutions for a critical growth anisotropic quasilinear elliptic system, with the operators $p$ and $q-$laplacian, depending on two real parameters $\lambda$, $ \mu$, that is coupled through a subcritical perturbation term and involves a negative critical part. We identify a specific scaling for the system and introduce a parameter $\gamma$ associated with this scaling. We establish three distinct types of multiplicity results, depending on the regimes $\gamma = 1$, $\gamma > 1$, and $\gamma < 1$.