Infinitely many solutions for a class of systems including the (p1,..., pn)-biharmonic operators-Reference-Cited by-同舟云学术

Infinitely many solutions for a class of systems including the (p1,..., pn)-biharmonic operators

Published:2022 Issue:7 Volume:36 Page:2303-2310
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Mahshid Mirkeysaan¹,Razani Abdolrahman²

Affiliation:

1. Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

2. Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran

Abstract

In this work, we prove the existence of infinitely many solutions for a general form of an elliptic system involving the (p1,..., pn)-biharmonic operators via variational methods.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference20 articles.

1. F. Abdolrazaghi, A. Razani, R. Mirzaei, Multiple weak solutions for a kind of time-dependent equation involving singularity, Filomat 34 (2020) no. 13, 4567-4574.

2. G. A. Afrouzi, Q. Zhang, A. Hadjian, Multiple solutions for a class of Neumann doubly eigenvalue boundary value systems involving the (p1(x),..., pn(x))-Laplacian, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas 108 (2014) no. 2, 1055-1064.

3. A. Anane, O. Chakrone, B. Karim, A. Zerouali, Existence of solution for a resonant Steklov Problem, Bol. Soc. Paranaense de Mat. 1 (2009) 87-90.

4. G. Bonanno, G. Molica Bisci, Infinitely many solutions for a boundary value problem with discontinuous nonlinearities, Boundary Value Problems 2009 (2009), 1-20.

5. L. C. Evans, Partial Differential Equations, (2nd ed.), Graduate Studies in Mathematics, Vol. 19, American Mathematical Society, Providence, RI, 2010.

Cited by 1 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. Solutions to a $$(p_1, \ldots ,p_n)$$-Laplacian Problem with Hardy Potentials;Journal of Nonlinear Mathematical Physics;2022-10-23