Existence and nonexistence of positive solutions for a class of generalized quasilinear Schrödinger equations involving a Kirchhoff-type perturbation with critical Sobolev exponent-Reference-Cited by-同舟云学术

Existence and nonexistence of positive solutions for a class of generalized quasilinear Schrödinger equations involving a Kirchhoff-type perturbation with critical Sobolev exponent

Published:2018-02 Issue:2 Volume:59 Page:021505
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:Journal of Mathematical Physics

Author:

Chen Jianhua¹,Tang Xianhua¹,Cheng Bitao¹²^ORCID

Affiliation:

1. School of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, People’s Republic of China

2. School of Mathematics and Statistics, Qujing Normal University, Qujing, Yunnan 655011, People’s Republic of China

Funder

Outstanding Youth Scientist Foundation Plan of Jiangxi

Provincial Natural Science Foundation of Jiangxi

Yunnan Local Colleges Applied Basic Research Projects

National Natural Science Foundation of China

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://aip.scitation.org/doi/pdf/10.1063/1.5024898

Reference46 articles.

1. Dual variational methods in critical point theory and applications

2. Nonlinear electromagnetic-spin waves

3. Global Existence of Small Solutions to a Relativistic Nonlinear Schrödinger Equation

4. A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

5. Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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