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Multiple solutions for a fourth-order elliptic equation involving singularity | ||
Computational Methods for Differential Equations | ||
مقاله 13، دوره 9، شماره 3، مهر 2021، صفحه 818-829 اصل مقاله (356.77 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22034/cmde.2020.34709.1584 | ||
نویسندگان | ||
Reza Mahdavi Khanghahi؛ Abdolrahman Razani* | ||
Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran. | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Higher-order elliptic equations؛ Singular nonlinear boundary value problems؛ Critical point theory؛ Variational methods | ||
مراجع | ||
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