Concentration analysis provides, in settings without a priori available compactness, a manageable structural description for the functional sequences intended to approximate solutions of partial differential equations. Since the introduction of concentration compactness in the 1980s, concentration analysis today is formalized on the functional-analytic level as well as in terms of wavelets, ext…
No Inv.: 754/P/Perp/94/1c
Geodesic Convexity in Graphs is devoted to the study of the geodesic convexity on finite, simple, connected graphs. The first chapter includes the main definitions and results on graph theory, metric graph theory and graph path convexities. The following chapters focus exclusively on the geodesic convexity, including motivation and background, specific definitions, discussion and examples, resu…
The eigenvalue problems for quasilinear and nonlinear operators present many differences with the linear case, and a Lyapunov inequality for quasilinear resonant systems showed the existence of eigenvalue asymptotics driven by the coupling of the equations instead of the order of the equations. For p=2, the coupling and the order of the equations are the same, so this cannot happen in linear p…
No Inv.: 133429,133430/S/Perp/12/2c
No Inv.: 2707-2717-2726/P/Perp/97/20c
No Inv.: 2885/Perp/86/1c
No Inv.: 2725/Perp/85/1c
No Inv.: 447/S/Perp/93/1c
No Inv.: 3812-3815/BD/Perp/90/4c~6734-6750/BD/Perp/90/17c