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Asymptotics for $$L^ 2$$ minimal blow-up solutions of critical nonlinear Schrödinger equation. (English) Zbl 0862.35013
From the author’s introduction: We describe the behaviour of a sequence $$v_n:\mathbb{R}^N\to\mathbb{C}$$ of $$H^1$$ functions such that $\int|v_n|^2=\int Q^2,\;E(v_n)={1\over 2}\int|\nabla v_n|^2-{1\over{4\over N}+2}\int|v_n|^{{4\over N}+2}\leq E_0,\;\int|\nabla v_n|^2\to+\infty,$ where $$Q$$ is the positive radial symmetric solution of the equation $$\Delta v+|v|^{4/N}v=v$$.

##### MSC:
 35B40 Asymptotic behavior of solutions to PDEs 35J60 Nonlinear elliptic equations