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Concavity estimates for a class of nonlinear elliptic equations in two dimensions

✍ Scribed by Xi-Nan Ma


Publisher
Springer-Verlag
Year
2002
Tongue
French
Weight
126 KB
Volume
240
Category
Article
ISSN
0025-5874

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πŸ“œ SIMILAR VOLUMES


Nonradial Solutions of a Semilinear Elli
✍ J. Iaia; H. Warchall πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 668 KB

We establish existence of an infinite family of exponentially-decaying non-radial \(C^{2}\) solutions to the equation \(\Delta u+f(u)=0\) on \(\mathbb{R}^{2}\) for a large class of nonlinearities \(f\). These solutions have the form \(u(r, \theta)=e^{\text {imit }} u(r)\), where \(r\) and \(\theta\)