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- W2957908322 abstract "We consider the following critical weakly coupled elliptic system [ begin{cases} -Delta u_i = mu_i |u_i|^{2^*-2}u_i + sum_{j neq i} beta_{ij} |u_j|^{frac{2^*}{2}} |u_i|^{frac{2^*-4}{2}} u_i & text{in $Omega_varepsilon$} u_i >0 & text{in $Omega_varepsilon$} u_i = 0 & text{on $partial Omega_varepsilon$},end{cases} qquad i =1,dots,m, ] in a domain $Omega_varepsilon subset mathbb{R}^N$, $N=3,4$, with small shrinking holes as the parameter $varepsilon to 0$. We prove the existence of positive solutions of two different types: either each density concentrates around a different hole, or we have groups of components such that all the components within a single group concentrate around the same point, and different groups concentrate around different points." @default.
- W2957908322 created "2019-07-23" @default.
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- W2957908322 date "2016-10-25" @default.
- W2957908322 modified "2023-09-27" @default.
- W2957908322 title "On Coron's problem for weakly coupled elliptic systems" @default.
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