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Local mountain-pass for a class of elliptic problems in RN involving critical growth

✍ Scribed by C.O. Alves; João Marcos do Ó; M.A.S. Souto


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
146 KB
Volume
46
Category
Article
ISSN
0362-546X

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Existence results for a class of nonline
✍ Nathalie Grenon; Cristina Trombetti 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 123 KB

We prove the existence of bounded solutions for a class of nonlinear elliptic problems whose model is in the form: -div(a(x; u; Du)) = k1(|u|)|Du| p + k2(|u|)f; u ∈ W 1;p 0 ( ) ∩ L ∞ ( ); (\*) where a(x; Á; ) ¿ b(|Á|)| | p , b is a continuous monotone decreasing function and k1 and k2 are continuous