Multiple solutions for a fourth-order elliptic equation involving singularity

Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_CMDE-9-3_013

تاریخ نمایه سازی: 15 بهمن 1401

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.

Keywords:

Higher-order elliptic equations , Singular nonlinear boundary value problems , Critical point theory , Variational methods

Authors

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

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

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