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• W2259068315 abstract "We obtain classification, solvability, and nonexistence theorems for positive stationary states of reaction-diffusion and Schrödinger systems involving a balance between repulsive and attractive terms. This class of systems contains PDE arising in biological models of Lotka--Volterra type, in physical models of Bose--Einstein condensates, and in models of chemical reactions. We show, with different proofs, that the results obtained in [A. Montaru, B. Sirakov, and P. Souplet, Arch. Ration. Mech. Anal., 213 (2014), pp. 129--169] for models with homogeneous diffusion are valid for general heterogeneous media, and even for controlled inhomogeneous diffusions." @default.
• W2259068315 created "2016-06-24" @default.
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• W2259068315 date "2016-01-01" @default.
• W2259068315 modified "2023-10-17" @default.
• W2259068315 title "Stationary States of Reaction-Diffusion and Schrödinger Systems with Inhomogeneous or Controlled Diffusion" @default.
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• W2259068315 doi "https://doi.org/10.1137/15m1042437" @default.
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