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The approximate solution of the nonlinear equation Δu = u − u3

✍ Scribed by Jean Chauvette; Frank Stenger


Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
514 KB
Volume
51
Category
Article
ISSN
0022-247X

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On the Multiplicity of the Solutions of
✍ Jean Saint Raymond 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 179 KB

Let W be a bounded open subset of R n . We discuss conditions on the continuous function f: R Q R ensuring that the problem -Du=l • f(u) admits unboundedly many weak solutions in H 1 0 (W) for any positive real l.