Spiked solutions for SchrÃ¶dinger systems with Sobolev critical exponent: the cases of competitive and weakly cooperative interactions

2017

JOURNAL OF FIXED POINT THEORY AND ITS APPLICATIONS

Spiked solutions for SchrÃ¶dinger systems with Sobolev critical exponent: the cases of competitive and weakly cooperative interactions

01 Pubblicazione su rivista

Pistoia Angela, Tavares Hugo

ISSN: 1661-7738

We construct families of positive solutions for competitive and cooperative systems
which blow-up and concentrate at different points of the domain.
This problem can be seen as a generalization for systems of a Brezis–
Nirenberg type problem.

Applied Mathematics Blowup and concentrating solutions Brezisâ??Nirenberg type problems Competitive and weakly cooperative systems Critical Sobolev Exponent Cubic SchrÃ¶dinger systems Geometry and Topology Lyapunovâ??Schmidt reduction Modeling and Simulation