Soliton solutions for quasilinear Schrödinger equations, I

Soliton solutions for quasilinear Schrödinger equations, I
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DOI:
10.1090/s0002-9939-02-06783-7
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发表时间:
2002-09
期刊:
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影响因子:
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通讯作者:
Jiaquan Liu;Zhi-Qiang Wang
Jiaquan Liu;Zhi-Qiang Wang
中科院分区:
其他
文献类型:
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作者:
Jiaquan Liu;Zhi-Qiang Wang

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本文利用临界点理论证明了拟线性薛定谔方程-Delta(P)u-p/2(p-1)u Delta(P)(u(2))-f(x,u)在具有Dirichlet边界条件的有界光滑区域Omega子集上的非平凡弱解的存在性。
In this article, critical point theory is used to show the existence of nontrivial weak solutions to the quasilinear Schrodinger equation -Delta(p)u - p/2(p-1) u Delta(p) (u(2)) - f(x, u) in a bounded smooth domain Omega subset of R-N with Dirichlet boundary conditions.