Multiple solutions for a fourth-order elliptic equation involving sin-gularity

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Mahdavi Khanghahi Reza; RAZANI ABDOLRAHMAN

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Journal Paper

Paper Information

Journal: Computational Methods for Differential Equations Year:2021 | Volume:9 | Issue:3 Page(s): 818-829

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Information Journal Paper

Title

Multiple solutions for a fourth-order elliptic equation involving sin-gularity

Author(s)

Mahdavi Khanghahi Reza | RAZANI ABDOLRAHMAN | Issue Writer Certificate

Keywords

Higher-order elliptic equations

Singular nonlinear boundary value problems

Critical point theory

Variational methods

Abstract

Here, we consider a fourth-order elliptic problem involving singularity and p(x)-biharmonic operator. Using Hardy's inequality, S+-condition, and Palais-Smale condition, the existence of weak solutions in a bounded domain in RN is proved. Finally, we percent some examples.

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APA: Copy

Mahdavi Khanghahi, Reza, & RAZANI, ABDOLRAHMAN. (2021). Multiple solutions for a fourth-order elliptic equation involving sin-gularity. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 9(3), 818-829. SID. https://sid.ir/paper/1058220/en

Vancouver: Copy

Mahdavi Khanghahi Reza, RAZANI ABDOLRAHMAN. Multiple solutions for a fourth-order elliptic equation involving sin-gularity. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS[Internet]. 2021;9(3):818-829. Available from: https://sid.ir/paper/1058220/en

IEEE: Copy

Reza Mahdavi Khanghahi, and ABDOLRAHMAN RAZANI, “Multiple solutions for a fourth-order elliptic equation involving sin-gularity,” COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, vol. 9, no. 3, pp. 818–829, 2021, [Online]. Available: https://sid.ir/paper/1058220/en

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