ON SOME ELLIPTIC EQUATION IN THE WHOLE EUCLIDEAN SPACE R-2 WITH NONLINEARITIES HAVING NEW EXPONENTIAL GROWTH CONDITION

Aouaoui Sami; Jlel Rahma

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ON SOME ELLIPTIC EQUATION IN THE WHOLE EUCLIDEAN SPACE R-2 WITH NONLINEARITIES HAVING NEW EXPONENTIAL GROWTH CONDITION

机译：在整个欧几里德空间R-2中的一些椭圆方程，具有新的指数生长条件的非线性

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In this paper, we study some elliptic equation defined in R-2 and involving a nonlinearity with new exponential growth condition including the doubly exponential growth at infinity. For that aim, we start by extending some new Trudinger-Moser type inequalities defined on the unit ball of different classes of weighted Sobolev spaces established by B. Ruf and M. Calanchi to the whole space R-2.

机译：在本文中，我们研究了R-2中定义的一些椭圆方程，并涉及具有新指数生长条件的非线性，包括无限远的双指数增长。为此，我们首先延长由B.Ruf和M.Canchi的不同类加权Sobolev空间的单位球上定义的一些新的Tudinger-Moser类型不等式。

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《Communications on pure and applied analysis》 |2020年第10期|共26页
作者
Aouaoui Sami; Jlel Rahma;
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作者单位

Inst Super Math Appl &

Informat Kairouan Ave Assad Iben Fourat Kairouan 3100 Tunisia;

Fac Sci Monastir Ave Environm Monastir 5019 Tunisia;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Trudinger-Moser inequality; doubly exponential; radial function; ground state;

机译：Trudinger-Moser不等式;双重指数;径向功能;地面态;

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1. ON SOME ELLIPTIC EQUATION IN THE WHOLE EUCLIDEAN SPACE R-2 WITH NONLINEARITIES HAVING NEW EXPONENTIAL GROWTH CONDITION [J] . Aouaoui Sami, Jlel Rahma Communications on pure and applied analysis . 2020,第10期

机译：在整个欧几里德空间R-2中的一些椭圆方程，具有新的指数生长条件的非线性
2. An elliptic equation with indefinite nonlinearities and exponential critical growth in R-2 [J] . Medeiros Everaldo S., Severo Uberlandio B., Silva Elves A. B. Nature reviews Cancer . 2019,第2期

机译：具有无限期非线性的椭圆方程，R-2中指数临界生长
3. Existence of positive solutions to quasi-linear elliptic equations with exponential growth in the whole Euclidean space [J] . Yang Y. Journal of Functional Analysis . 2012,第4期

机译：整个欧氏空间中指数增长的拟线性椭圆型方程正解的存在性
4. On a Class of Nonlinear Elliptic Unilateral Problems Involving Only a Growth Condition on Nonlinearities [C] . H. Sabiki, H. Moussa, M. Rhoudaf International Congress of the Moroccan Applied Mathematic Society . 2019

机译：在一类非线性椭圆形单侧问题，涉及非线性的生长条件
5. Eigenvalue Problems for Fully Nonlinear Elliptic Partial Differential Equations with Transport Boundary Conditions [D] . Lesniewski, Jacob. 2021

机译：具有运输边界条件的完全非线性椭圆局部微分方程的特征值问题
6. Gradient estimates for a nonlinear elliptic equation on smooth metric measure spaces and applications [O] . Abimbola Abolarinwa, Sulyman O. Salawu, Clement A. Onate 2019

机译：光滑度量尺度空间上非线性椭圆方程的梯度估计及其应用
7. Existence of positive solutions to quasi-linear elliptic equations with exponential growth in the whole Euclidean space [O] . Yang Yunyan 2012

机译：整个欧氏空间中具有指数增长的拟线性椭圆型方程正解的存在性

ON SOME ELLIPTIC EQUATION IN THE WHOLE EUCLIDEAN SPACE R-2 WITH NONLINEARITIES HAVING NEW EXPONENTIAL GROWTH CONDITION

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