An elliptic semilinear equation with source term and boundary measure data: The supercritical case

Bidaut-Veron Marie-Francoise; Hoang Giang; Quoc-Hung Nguyen; Veron Laurent

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An elliptic semilinear equation with source term and boundary measure data: The supercritical case

机译：带有源项和边界测度数据的椭圆半线性方程：超临界情况

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摘要

We give new criteria for the existence of weak solutions to an equation with a super linear source term

机译：我们给出了具有超线性源项的方程的弱解的存在性的新准则

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来源
《Journal of Functional Analysis》 |2015年第7期|共23页
作者
Bidaut-Veron Marie-Francoise; Hoang Giang; Quoc-Hung Nguyen; Veron Laurent;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Riesz potentials; Hardy potentials; Quasi-metric; Capacities;

机译：Riesz势;Hardy势;准度量;容量;

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专利

1. An elliptic semilinear equation with source term and boundary measure data: The supercritical case [J] . Bidaut-Veron Marie-Francoise, Hoang Giang, Quoc-Hung Nguyen, Journal of Functional Analysis . 2015,第7期

机译：带有源项和边界测度数据的椭圆半线性方程：超临界情况
2. Unique determination of potentials and semilinear terms of semilinear elliptic equations from partial Cauchy data [J] . Imanuvilov O., Yamamoto M. Journal of inverse and ill-posed problems . 2013,第1期

机译：根据部分柯西数据唯一确定半线性椭圆方程的势和半线性项
3. Measure boundary value problems for semilinear elliptic equations with critical Hardy potentials [J] . Gkikas Konstantinos T., Veron Laurent Comptes rendus. Mathematique . 2015,第4期

机译：具有临界Hardy势的半线性椭圆方程的边值问题的度量
4. Optimal boundary control for non-well-posed semilinear elliptic equations in the absence of convexity [C] . Shu Luan, Xiuxiang Zhou Chinese Control Conference . 2017

机译：在没有凸起的非良好构成半线性椭圆方程的最佳边界控制
5. Long-term dynamics of a semilinear wave equation with localized nonlinear dissipation, critical source term, and mixed boundary conditions. [D] . Toundykov, Daniel. 2007

机译：具有局部非线性耗散，临界源项和混合边界条件的半线性波动方程的长期动力学。
6. Linear Parabolic Differential Equations of Arbitrary Order; General Boundary-Value Problems for Elliptic Equations [O] . Felix E. Browder 1953

机译：任意阶线性抛物线方程椭圆方程的一般边值问题
7. An elliptic semilinear equation with source term and boundary measure data: the supercritical case [O] . Bidaut-Véron, Marie-Françoise, Hoang, Giang, Nguyen, Quoc-Hung, 2015

机译：具有源项和边界测度数据的椭圆半线性方程：超临界情况
8. Existence of Large Solutions to Semilinear Elliptic Equations with Multiple Terms [R] . Smith, D. N. 2006

机译：具有多项的半线性椭圆方程的大解的存在性

An elliptic semilinear equation with source term and boundary measure data: The supercritical case

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