无边界控制椭圆型临界方程的浓度分析:基态爆破

IF 1.3 4区数学 Q2 MATHEMATICS, APPLIED Discrete and Continuous Dynamical Systems-Series S Pub Date : 2023-01-01 DOI:10.3934/dcdss.2023199

Hussein Mesmar, Frédéric Robert

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引用次数: 0

摘要

本文对具有边界的流形上一类临界非线性椭圆方程的解进行了先验分析。解是最小化型的。其独创性在于，我们没有对边界施加任何条件，这导致我们假设$ L^2- $浓度。我们还分析了导致集中点快速收敛的非齐次非线性的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Concentration analysis for elliptic critical equations with no boundary control: Ground-state blow-up

We perform the apriori analysis of solutions to critical nonlinear elliptic equations on manifolds with boundary. The solutions are of minimizing type. The originality is that we impose no condition on the boundary, which leads us to assume $ L^2- $concentration. We also analyze the effect of a non-homogeneous nonlinearity that results in the fast convergence of the concentration point.

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来源期刊

Discrete and Continuous Dynamical Systems-Series S MATHEMATICS, APPLIED-

CiteScore

3.70

自引率

5.60%

发文量

177

期刊介绍： Series S of Discrete and Continuous Dynamical Systems only publishes theme issues. Each issue is devoted to a specific area of the mathematical, physical and engineering sciences. This area will define a research frontier that is advancing rapidly, often bridging mathematics and sciences. DCDS-S is essential reading for mathematicians, physicists, engineers and other physical scientists. The journal is published bimonthly.