𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Global solutions in the critical Sobolev space for the wave equations with nonlinearity of exponential growth

✍ Scribed by M. Nakamura; T. Ozawa


Publisher
Springer-Verlag
Year
1999
Tongue
French
Weight
97 KB
Volume
231
Category
Article
ISSN
0025-5874

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Existence and Multiplicity of Nodal Solu
✍ E. Hebey; M. Vaugon πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 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 \(\Omega, u=0\)

Nonlinear SchrΓΆdinger Equations in the S
✍ M Nakamura; T Ozawa πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 310 KB

The Cauchy problem for the nonlinear Schro dinger equations is considered in the Sobolev space H nΓ‚2 (R n ) of critical order nΓ‚2, where the embedding into L (R n ) breaks down and any power behavior of interaction works as a subcritical nonlinearity. Under the interaction of exponential type the ex