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Hebey–Vaugon conjecture II

✍ Scribed by Farid Madani


Book ID
119222979
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
142 KB
Volume
350
Category
Article
ISSN
1631-073X

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📜 SIMILAR VOLUMES


The Linnik Conjecture. II
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Existence and Multiplicity of Nodal Solu
✍ E. Hebey; M. Vaugon 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 594 KB

Let \(\Omega\) be a smooth bounded domain of \(\mathbb{R}^{n}, n \geqslant 3\), and let \(a(x)\) and \(f(x)\) be two smooth functions defined on a neighbourhood of \(\Omega\). First we study the existence of nodal solutions for the equation \(\Delta u+a(x) u=f(x)|u|^{4 /(n-2)} u\) on \(\Omega, u=0\)