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Systems of coupled Poisson equations with critical growth in unbounded domains

✍ Scribed by Fabrice Colin; Marlène Frigon


Publisher
SP Birkhäuser Verlag Basel
Year
2006
Tongue
English
Weight
190 KB
Volume
13
Category
Article
ISSN
1021-9722

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On the stability of equilibria to weakly
✍ Joachim Escher; Zhaoyang Yin 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 264 KB

We investigate weakly coupled semilinear parabolic systems in unbounded domains of R 2 or R 3 with general nonlinearities. We present several sufficient conditions on the nonlinearities which ensure the stability of the zero solution with respect to H 2 -perturbations. In addition, various examples