Advances in Differential Equations

Uniqueness and profile of solutions for a superlinear elliptic equation

Yoshitsugu Kabeya and Eiji Yanagida

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Abstract

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

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

Dates
First available in Project Euclid: 18 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355867924

Mathematical Reviews number (MathSciNet)
MR2100395

Zentralblatt MATH identifier
1241.35070

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

Citation

Kabeya, Yoshitsugu; Yanagida, Eiji. Uniqueness and profile of solutions for a superlinear elliptic equation. Adv. Differential Equations 9 (2004), no. 7-8, 771--796. https://projecteuclid.org/euclid.ade/1355867924.


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