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The equation −Δu+|u|α−1u=f, for0 ⩽ α ⩽ 1

✍ Scribed by Thierry Gallouët; Jean-Michel Morel


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
975 KB
Volume
11
Category
Article
ISSN
0362-546X

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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.