Existence of positive solutions to some nonlinear equations on locally finite graphs-Reference-Cited by-全球学者库

Existence of positive solutions to some nonlinear equations on locally finite graphs

Published:2017-04-22 Issue:7 Volume:60 Page:1311-1324
ISSN:1674-7283
Container-title:Science China Mathematics
language:en
Short-container-title:Sci. China Math.

Author:

Grigor’yan Alexander,Lin Yong,Yang YunYan

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/article/10.1007/s11425-016-0422-y/fulltext.html

Reference28 articles.

1. Adimurthi A. Existence of positive solutions of the semilinear Dirichlet problem with critical growth for the NLaplacian. Ann Sc Norm Super Pisa Cl Sci, 1990, 17: 393–413

2. Adimurthi A, Yadava S L. Multiplicity results for semilinear elliptic equations in a bounded domain of R2 involving critical exponent. Ann Sc Norm Super Pisa Cl Sci, 1990, 17: 481–504

3. Yang Y. An interpolation of Hardy inequality and Trudinger-Moser inequality in RN and its applications. Int Math Res Not IMRN, 2010, 13: 2394–2426

4. Alama S, Li Y Y. Existence of solutions for semilinear elliptic equations with indefinite linear part. J Differential Equations, 1992, 96: 89–115

5. Alves C O, Figueiredo G M. On multiplicity and concentration of positive solutions for a class of quasilinear problems with critical exponential growth in RN. J Differential Equations, 2009, 246: 1288–1311

Cited by 58 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Existence of solutions for nonlinear biharmonic Choquard equations on weighted lattice graphs;Journal of Mathematical Analysis and Applications;2024-06

2. Blow-up conditions for a semilinear parabolic system on locally finite graphs;Acta Mathematica Scientia;2024-02-06

3. Normalized solutions for nonlinear Schrödinger equations on graphs;Journal of Mathematical Analysis and Applications;2024-02

4. The Ground State Solutions to a Class of Biharmonic Choquard Equations on Weighted Lattice Graphs;Bulletin of the Iranian Mathematical Society;2024-01-31

5. A heat flow with sign-changing prescribed function on finite graphs;Journal of Mathematical Analysis and Applications;2023-12