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Multiplicity of solutions for homogeneous elliptic systems with critical growth

✍ Scribed by Marcelo F. Furtado; João Pablo P. da Silva

Book ID
113721416
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
243 KB
Volume
385
Category
Article
ISSN
0022-247X

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📜 SIMILAR VOLUMES

Existence and Multiplicity of Nodal Solu
Existence and Multiplicity of Nodal Solutions for Nonlinear Elliptic Equations with Critical Sobolev Growth
✍ 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 \(\Omega, u=0\)