Existence and concentration of solutions for singularly perturbed doubly nonlocal elliptic equations

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Existence and concentration of solutions for singularly perturbed doubly nonlocal elliptic equations

机译：奇异扰动双重非团椭圆方程的溶液存在和浓度

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We consider the existence and concentration of positive solutions to a singularly perturbed doubly nonlocal elliptic equation

机译：我们考虑一个奇异扰动双重非局部椭圆方程的正解的存在和浓度

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《Communications in contemporary mathematics》 |2020年第1期|共37页
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正文语种 eng
中图分类数学;
关键词
Nonlocal elliptic problem; Hartree-type nonlinearity; penalization method; single-peak solution; concentration phenomena;

机译：非局部椭圆问题;Hartree型非线性;惩罚方法;单峰解决方案;浓度现象;

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1. Existence and concentration of solutions for singularly perturbed doubly nonlocal elliptic equations [J] . Communications in contemporary mathematics . 2020,第1期

机译：奇异扰动双重非团椭圆方程的溶液存在和浓度
2. Existence of solutions for singularly perturbed Schr?dinger equations with nonlocal part [J] . Yang M., Ding Y. Communications on pure and applied analysis . 2013,第2期

机译：具有非局部部分的奇摄动薛定er方程解的存在性
3. Singularly Perturbed Elliptic Equations with Symmetry: Existence of Solutions Concentrating on Spheres, Part II [J] . Antonio Ambrosetti, Andrea Malchiodi, Wei-Ming Ni Indiana University Mathematics Journal . 2004,第2期

机译：具有对称性的奇摄动椭圆方程：集中于球体的解的存在，第二部分
4. Decomposition of Traveling Wave Existence Problem for Singularly Perturbed Equations [C] . Vladimir Sobolev International Conference on Information Technology and Nanotechnology . 2020

机译：奇摄动方程行波存在性问题的分解
5. Behavior of Solutions to Nonlocal Hyperbolic Diffusion and Doubly Nonlocal Cahn-Hilliard Equations [D] . White, Laura M. 2018

机译：非竞技双曲扩散和双非团的溶液的行为及双非团Cahn-Hilliard方程
6. Asymptotic Bounds for the Time-Periodic Solutions to the Singularly Perturbed Ordinary Differential Equations [O] . Gabil M. Amiraliyev, Aysenur Ucar 2013

机译：奇摄动常微分方程时间周期解的渐近界
7. Perturbed solutions of semilinear equations in the singularly perturbed domain(Solutions for Nonlinear Elliptic Equations) [O] . JIMBO Shuichi 1989

机译：奇摄动域中半线性方程的摄动解（非线性椭圆方程的解）
8. Some Two Parameter Problems for Singularly Perturbed Equations of Elliptic Type. [R] . Howes, F. A. 1979

机译：椭圆型奇异摄动方程的两个参数问题。

Existence and concentration of solutions for singularly perturbed doubly nonlocal elliptic equations

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