On existence and concentration of solutions for an elliptic problem with discontinuous nonlinearity via penalization method

Claudianor O. Alves; Giovany M. Figueiredo; Rúbia G. Nascimento

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On existence and concentration of solutions for an elliptic problem with discontinuous nonlinearity via penalization method

机译：惩罚法求解具有不连续非线性椭圆问题的解的存在性和集中性

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摘要

In the present paper, we establish existence and concentration of positive solution for a class of elliptic problems in R~N whose nonlinearity is discontinuous.

机译：在本文中，我们建立了非线性不连续的R〜N中一类椭圆问题的正解的存在性和集中性。

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《ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees》 |2014年第1期|共22页
作者
Claudianor O. Alves; Giovany M. Figueiredo; Rúbia G. Nascimento;
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正文语种 eng
中图分类应用数学;
关键词
discontinuous nonlinearity; positive solution; elliptic;

机译：不连续非线性;正解;椭圆形;

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专利

1. On existence and concentration of solutions for an elliptic problem with discontinuous nonlinearity via penalization method [J] . Claudianor O. Alves, Giovany M. Figueiredo, Rúbia G. Nascimento ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees . 2014,第1期

机译：惩罚法求解具有不连续非线性椭圆问题的解的存在性和集中性
2. Existence and concentration of solutions for a class of elliptic problems with discontinuous nonlinearity in RN [J] . Alves C.O., Nascimento R.G. Mathematica scandinavica . 2013,第1期

机译：RN中一类具有不连续非线性问题的椭圆问题解的存在和集中
3. Existence and concentration of solution for a class of fractional elliptic equation in R-N via penalization method [J] . Alves Claudianor O., Miyagaki Olimpio H. Calculus of variations and partial differential equations . 2016,第3期

机译：R-N中一类分数阶椭圆型方程的惩罚解的存在性与浓度
4. Existence of Solutions with Asymptotic Behavior of Exterior Problems of Fully Nonlinear Uniformly Elliptic Equations [C] . Da Limei 2011 Fourth International Symposium on Knowledge Acquisition and Modeling . 2011

机译：完全非线性一致椭圆型方程外部问题渐近性的解的存在性
5. Existence and Classification of Solutions to Nonlinear Elliptic Equations [D] . Ansari, Haseeb E. 2019

机译：非线性椭圆方程解的存在性与分类
6. A massively parallel nonoverlapping additive Schwarz method for discontinuous Galerkin discretization of elliptic problems [O] . Maksymilian Dryja, Piotr Krzyżanowski -1

机译：椭圆问题的不连续Galerkin离散的大规模并行不重叠加性Schwarz方法
7. Existence and Concentration of Solutions for a Class of Elliptic Problems with Discontinuous Nonlinearity in $mathbf{R}^{N}$ [O] . Claudianor O. Alves, Rúbia G. Nascimento 2013

机译：$ mathbf {r} ^ {n} $的一类不连续非线性的一类椭圆问题解决方案的存在和集中
8. On the Existence of Infinitely Many Solutions of the Dirichlet Problem for Some Nonlinear Elliptic Equations [R] . Dong, G. C., Li, S. 1980

机译：关于一类非线性椭圆型方程Dirichlet问题无穷多解的存在性

On existence and concentration of solutions for an elliptic problem with discontinuous nonlinearity via penalization method

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