Quantization for a fourth order equation with critical exponential growth期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Quantization for a fourth order equation with critical exponential growth

Authors:	Michael Struwe

Affiliation:	(1) Departement für Mathematik, ETH-Zentrum, 8092 Zürich, Switzerland

Abstract:	For concentrating solutions weakly in H ²(Ω) to the equation $Delta^{2} u_{k}= lambda_{k} u_{k} e^{2u_{k}^{2}}$ on a domain $Omega subset mathbb{R}^{4}$ with Navier boundary conditions the concentration energy $Lambda = lim_{k rightarrow infty} int_{Omega} \|Delta u_k\|^{2} dx$ is shown to be strictly quantized in multiples of the number $Lambda_1 = 16 pi^{2}$ .

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