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 \(\Omega, u=0\)
β¦ LIBER β¦
Global solutions in the critical Sobolev space for the wave equations with nonlinearity of exponential growth
β Scribed by M. Nakamura; T. Ozawa
- Publisher
- Springer-Verlag
- Year
- 1999
- Tongue
- French
- Weight
- 97 KB
- Volume
- 231
- Category
- Article
- ISSN
- 0025-5874
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