1) Sobolev-Hardy inequality
Sobolev-Hardy不等式
1.
(Using) Sobolev-Hardy inequality,Mountain Pass lemma and Concentration compactness principle,the existence of positive solution was proved under the certain conditions that the cofficients and exponents of the(equation) meet.
利用Sobolev-Hardy不等式、翻山引理和第二集中紧原理,在方程的系数和指数满足一定的条件下得到了方程正解的存在性结果。
2.
The authors discuss the existence of positive solution for a p-Laplace equation with singular weight by using Sobolev-Hardy inequality and the Mountain Pass Lemma.
利用Sobolev-Hardy不等式和山路引理,讨论了一类包含奇性权p-Laplace方程在具有光滑边界开集上正解的存在性。
3.
We use the decomposition of the filtration of the Nehair manifold via the variation of domain shape and Sobolev-Hardy inequality.
利用Nehair流形的过滤分解以及Sobolev-Hardy不等式证明下述问题的多解的存在性:-Δu+u=|u|p-2u/|x|s in Ω u=0 on Ω其中Ω是一multi-bump域,ΩRN,2
2) Hardy-Sobolev inequality
Hardy-Sobolev不等式
4) Sobolev inequality
Sobolev不等式
1.
By using the Sobolev inequality and Gradient estimates we have proved some rigidity theorems for the space-like submanifold in a de Sitter space to be totally umbilical under the global pinching conditions of second fundamental quantity on submanifolds.
研究de Sitter空间中具有平行平均曲率的类空子流形,在关于子流形的第二基本量的整体Pinching条件下,利用Sobolev不等式和梯度估计的方法,证明类空子流形为全脐的几个刚性定理。
2.
In this paper,the equivalence of the Gagliardo-Nirenberg-Sobolev inequality and the isoperimetric inequality on the Heisenberg group Hn are studied and the proof of the equivalence is given.
研究了Heisenberg群Hn上Gagliardo-Nirenberg-Sobolev不等式与等周不等式的等价性,给出了等价性证明。
3.
In this paper, we study the equivalence of the Gagliardo-Nirenberg-Sobolev inequality and the isoperimetric inequality on the Heisenberg group H", also give the proof of the equivalence.
本文研究了Heisenberg群H~(1)上Gagliardo-Nirenberg-Sobolev不等式与等周不等式的等价性，给出了等价性证明。
5) Sobolev inequalities
Sobolev不等式
1.
Sobolev inequalities also called Sobolev imbedding theorems, are very popular among writers in partial differential equations or in the calculus of variations.
Sobolev不等式又称为Sobolev嵌入不等式,在偏微分方程和变分学中起着重要的作用。
6) Hardy inequality
Hardy不等式
1.
The fundamental solution and Hardy inequality for a class of degenerated elliptics operators with a double-weight;
一类双权退化椭圆算子的基本解及Hardy不等式
2.
In this paper,the existence of the nontrivial solution to a class of quasi-linear elliptic problem is investigated based on the Hardy inequality and the Mountain Pass Geometry.
使用Hardy不等式和山路几何研究了一类拟线性椭圆问题非平凡解的存在性。
3.
This paper discusses a class special elliptic equation with strong singular item and critical Sobolev exponents by Variational method in PDE and Hardy inequality.
运用变分方法及Hardy不等式讨论了一类特殊的椭圆方程,证明了在一定条件下方程解的存在性。
补充资料：Hardy不等式
Hardy不等式
Hardy inequality
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