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Nonradial solutions of a nonhomogeneous semilinear elliptic problem with linear growth

โœ Scribed by Pacella F., Srikanth P.N.

Book ID
127404345
Tongue
English
Weight
156 KB
Category
Library

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๐Ÿ“œ SIMILAR VOLUMES

Nonradial Solutions of a Semilinear Elli
Nonradial Solutions of a Semilinear Elliptic Equation in Two Dimensions
โœ J. Iaia; H. Warchall ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 \(\theta\)