Vicentiu Radulescu: Nonstandard phenomena in nonlinear elliptic PDEs
Time: Wed 2018-02-07 10.30 - 11.30
Location: Room 306, building 6 kräftriket, Department of Mathematics, Stockholm University
Participating: Vicentiu Radulescu, Institute of Mathematics of the Romanian Academy and University of Craiova
Abstract: 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.