Partial regularity of finite Morse index solutions to the Lane-Emden equation

Dávila J.; Dupaigne L.; Farina A.

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Partial regularity of finite Morse index solutions to the Lane-Emden equation

机译：Lane-Emden方程的有限Morse指数解的部分正则性

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摘要

We prove regularity and partial regularity results for finite Morse index solutions u∈H1(Ω)∩Lp(Ω) to the Lane-Emden equation -δu=|u|p-1u in Ω.

机译：我们证明了有限的Morse指数解u∈H1（Ω）∩Lp（Ω）的正则和部分正则结果，以Lane-Emden方程-δu= | u | p-1u为单位。

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来源
《Journal of Functional Analysis》 |2011年第1期|共15页
作者
Dávila J.; Dupaigne L.; Farina A.;
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正文语种 eng
中图分类数学;
关键词
Lane-Emden equation; Partial regularity; Semilinear elliptic pDE; Stability;

机译：Lane-Emden方程;偏正则;半线性椭圆pDE;稳定性;

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专利

1. Partial regularity of finite Morse index solutions to the Lane-Emden equation [J] . Dávila J., Dupaigne L., Farina A. Journal of Functional Analysis . 2011,第1期

机译：Lane-Emden方程的有限Morse指数解的部分正则性
2. Monotonicity formula and epsilon-regularity of stable solutions to supercritical problems and applications to finite Morse index solutions [J] . Du Yihong, Guo Zongming, Wang Kelei Calculus of variations and partial differential equations . 2014,第3a4期

机译：超临界问题稳定解的单调性公式和ε正则性及其在有限莫尔斯指数解中的应用
3. Stable solutions and finite Morse index solutions of nonlinear elliptic equations with Hardy potential [J] . Wonjeong Jeong, Youngae Lee Nonlinear Analysis: An International Multidisciplinary Journal . 2013,第Null期

机译：具有Hardy势的非线性椭圆型方程的稳定解和有限的Morse指数解。
4. Existence and regularity of weak solutions for the Navier-Stokes equations with partial sli p boundary conditions [C] . Juergen Saal Kyoto Conference on the Navier-Stokes Equations and their Applications . 2007

机译：具有部分SLI P边界条件的Navier-Stokes方程弱解决方案的存在与规律
5. Solutions for semilinear parabolic equations in L^P and Regularity of Weak Solutions of the Navier-Stokes System利用統計を見る [D] . Giga Yoshikazu 1985

机译：L ^ P中的半线性抛物方程的解和Navier-Stokes系统的弱解的正则性
6. REGULARITY THEOREMS FOR SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS [O] . Felix E. Browder 1957

机译：可变系数偏微分方程解的正则定理
7. Partial regularity of finite Morse index solutions to the Lane-Emden equation [O] . Dávila, Juan, Dupaigne, Louis, Farina, Alberto 2011

机译：Lane-Emden方程有限morse指数解的部分正则性

Partial regularity of finite Morse index solutions to the Lane-Emden equation

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