Advances in Differential Equations

Uniqueness and profile of solutions for a superlinear elliptic equation

Yoshitsugu Kabeya and Eiji Yanagida

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The uniqueness and profile of solutions for a Matukuma-type equation on the whole space as the power of the nonlinear term tends to one are discussed. By using information on a linear eigenvalue problem and Lyapunov-Schmidt-like reduction, we obtain the uniqueness and asymptotic profile of solutions. We also consider the case of bounded domain in the same manner.

Article information

Adv. Differential Equations, Volume 9, Number 7-8 (2004), 771-796.

First available in Project Euclid: 18 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35J60: Nonlinear elliptic equations
Secondary: 35B32: Bifurcation [See also 37Gxx, 37K50]


Kabeya, Yoshitsugu; Yanagida, Eiji. Uniqueness and profile of solutions for a superlinear elliptic equation. Adv. Differential Equations 9 (2004), no. 7-8, 771--796.

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