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 \(\Omega, u=0\)
Existence of a ground state solution for a nonlinear scalar field equation with critical growth
โ Scribed by Claudianor O. Alves; Marco A. S. Souto; Marcelo Montenegro
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 234 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0944-2669
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