NONEXISTENCE RESULTS FOR ELLIPTIC DIFFERENTIAL INEQUALITIES WITH A POTENTIAL IN BOUNDED DOMAINS

Dario D. Monticelli; Fabio Punzo

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NONEXISTENCE RESULTS FOR ELLIPTIC DIFFERENTIAL INEQUALITIES WITH A POTENTIAL IN BOUNDED DOMAINS

机译：界域上势可能为椭圆的椭圆型不等式的不存在结果。

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摘要

In this paper we are concerned with a class of elliptic differential inequalities with a potential in bounded domains both of R~m and of Riemann-ian manifolds. In particular, we investigate the effect of the behavior of the potential at the boundary of the domain on nonexistence of nonnegative solutions.

机译：在本文中，我们关注一类椭圆微分不等式，其在R〜m和黎曼流形的有界域中都具有势能。特别地，我们研究了在域边界上的势的行为对非负解的不存在的影响。

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来源
《Discrete and continuous dynamical systems》 |2018年第2期|675-695|共21页
作者
Dario D. Monticelli; Fabio Punzo;
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作者单位

Politecnico di Milano Via Bonardi,9 Milano, 20133, Italy;

Politecnico di Milano Via Bonardi,9 Milano, 20133, Italy;

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原文格式 PDF
正文语种 eng
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关键词
Nonexistence results; elliptic problems; nonnegative potential;

机译：不存在的结果;椭圆问题非负电位;

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专利

1. NONEXISTENCE RESULTS FOR SYSTEMS OF ELLIPTIC AND PARABOLIC DIFFERENTIAL INEQUALITIES IN EXTERIOR DOMAINS OF R-n [J] . Sun Yuhua Pacific journal of mathematics . 2018,第1期

机译：R-N外部域中的椭圆和抛物线差异不等式系统的不存在结果
2. Nonexistence results for elliptic differential inequalities with a potential on Riemannian manifolds [J] . Mastrolia P., Monticelli D. D., Punzo F. Calculus of variations and partial differential equations . 2015,第2期

机译：黎曼流形上具势的椭圆微分不等式的不存在结果
3. Sharp Nonexistence Results for a Linear Elliptic Inequality Involving Hardy and Leray Potentials [J] . Mouhamed Moustapha Fall, Roberta Musina Journal of inequalities and applications . 2011,第PTa1期

机译：包含Hardy和Leray势的线性椭圆不等式的尖锐不存在结果
4. Stability domains for differential inequalities systems [C] . Perruquetti, W., Richard, . 1993

机译：微分不等式系统的稳定性域
5. The Dirichlet and regularity problems for second order linear elliptic operators in bounded Lipschitz domains. [D] . Nguyen, Nguyen T. 2014

机译：有界Lipschitz域中二阶线性椭圆算子的Dirichlet和正则性问题。
6. Elliptic differential operators on Lipschitz domains and abstract boundary value problems [O] . Jussi Behrndt, Till Micheler -1

机译：Lipschitz域上的椭圆微分算子和抽象边值问题
7. Nonexistence results for elliptic differential inequalities with a potential in bounded domains [O] . Monticelli, Dario D., Punzo, Fabio 2016

机译：具有a的椭圆微分不等式的不存在性结果有界域中的潜力
8. A Population of Linear, Second Order, Elliptic Partial Differential Equations on Rectangular Domains. Part 1 [R] . Rice, J. R., Houstis, E. N., Dyksen, W. R. 1980

机译：矩形域上的线性，二阶，椭圆偏微分方程的种群。第1部分

NONEXISTENCE RESULTS FOR ELLIPTIC DIFFERENTIAL INEQUALITIES WITH A POTENTIAL IN BOUNDED DOMAINS

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