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1) LPPR/retraites : Le Laboratoire Jacques Louis Lions soutient la motion du CoNRS ( (suite...)

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189 personnes travaillent au LJLL

90 permanents

82 chercheurs et enseignants-chercheurs permanents

8 ingénieurs, techniciens et personnels administratifs

99 personnels non permanents

73 doctorants

14 post-doc et ATER

12 émérites et collaborateurs bénévoles


Chiffres mars 2019


Séminaire du LJLL - 17 01 2020 14h00 : H. Tavares

Hugo Tavares (Université de Lisbonne)
Weakly coupled elliptic systems with cooperative or competitive interactions : an overview
In this talk we will deal with systems of stationary reaction-diffusion equations appearing in nonlinear optics and Bose-Einstein condensation, where the interaction between different components is either cooperative or competitive. Our aim will be to explain some of the relevant questions that can be asked for each type of interaction, as well as the motivations for its study. We will survey some of the results proved in the last few years, discussing in general the existence and characterization of positive solutions. Furthermore, we will explain how a strong competition induces a phase separation phenomenon and gives rise to a free boundary problem. In the last part of the talk, we will consider nonlocal interaction terms between the components. We will highlight some of the similarities and differences between the local and the nonlocal cases, showing some recent results in the nonlocal one.