Classification of blow-up points and multiplicity of solutions for H-systems

Classification of blow-up points and multiplicity of solutions for H-systems
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H 系统爆破点的分类和多种解决方案

DOI:
10.1080/03605300008821550
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发表时间:
1999
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影响因子:
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通讯作者:
T. Isobe
T. Isobe
中科院分区:
--
文献类型:
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作者:
T. Isobe

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1260 ISOBE只考虑Dirichlet能量收敛于第一临界水平的解族(UH)到(HI)(见[6]),即S,lV(H~)dx+8 n为H1 0.然后由命题2.1证明,对于任意{H1,},其中Hn = 10为n-tco,存在{H1,}的子序列{H1,},Ak> 0,ak ∈ 0,其中Ak/d(ak,80)-+0为k-tco,且w ∈ L:,(R2; R3)满足
1260 ISOBE only consider a family of solutions {UH) to (HI) whose Dirichlet energies converge to the first critical level (see [6]), that is, S, lV (H~~)\~ dx+ 8n as H 1 0. Then by Proposition 2.1 in $2, for any {H,) with Hn 1 0 as n--t co, there exist a subsequence {H,,) of {&), Ak> 0, ak E 0 with Ak/d (ak, 80)-+ 0 as k-t co and w E L:,,(R2; R3) satisfying