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• W1539043607 abstract "The objective of this paper is to obtain qualitative characteristics of multi-bubble solutions to the Lane-Emden-Fowler equations with slightly subcritical exponents given any dimension $n ge 3$. By examining the linearized problem at each $m$-bubble solution, we provide a number of estimates on the first $(n+2)m$-eigenvalues and their corresponding eigenfunctions. Specifically, we present a new proof of the classical theorem due to Bahri-Li-Rey (Calc. Var. Partial Differential Equations 3 (1995) 67-93) which states that if $n ge 4$, then the Morse index of a multi-bubble solution is governed by a certain symmetric matrix whose component consists of a combination of Green's function, the Robin function, and their first and second derivatives. Our proof also allows us to handle the intricate case $n = 3$." @default.
• W1539043607 created "2016-06-24" @default.
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• W1539043607 date "2014-08-11" @default.
• W1539043607 modified "2023-09-27" @default.
• W1539043607 title "Qualitative properties of multi-bubble solutions for nonlinear elliptic equations involving critical exponents" @default.
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• W1539043607 hasPublicationYear "2014" @default.
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