Nonstandard phenomena in nonlinear elliptic equations

26 Nov 2018
09:00 - 09:45
Amphi III

Nonstandard phenomena in nonlinear elliptic equations

We report on some recent striking results that involve nonlinear elliptic equations. We first show that the standard monotonicity assumption in the statement of the maximum principle is not necessary. Next, we consider several classes of problems driven by differential operators with variable exponent. We are concerned both with small and high perturbations and we establish concentration phenomena of the spectrum, either near the origin or at infinity.