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On a nonlinear fourth-order elliptic equation involving the critical Sobolev exponent

✍ Scribed by François Ebobisse; Mohameden Ould Ahmedou

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
187 KB
Volume
52
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper we use an algebraic topological argument due to Bahri and Coron to show how the topology of the domain in uences the existence of positive solutions of the following problem involving the bilaplacian operator with the critical Sobolev exponent 2 u = u n+4= (n-4

📜 SIMILAR VOLUMES

Nonexistence results for a class of nonl
Nonexistence results for a class of nonlinear elliptic equations involving critical Sobolev exponents
✍ C. Tarsi 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 171 KB

In this paper we prove nonexistence results for some classes of nonlinear elliptic equations with critical growth of the form where 2 \* = 2N/ (N -2), g (x, u) is a lower-order perturbation of u 2 \* -1 and Ω is a bounded, strictly star-shaped domain in R N , N ≥ 3. Combining Pohozaev's identity wi