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.
Citation
Yoshitsugu Kabeya. Eiji Yanagida. "Uniqueness and profile of solutions for a superlinear elliptic equation." Adv. Differential Equations 9 (7-8) 771 - 796, 2004. https://doi.org/10.57262/ade/1355867924
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