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existence of three solutions for fourth-order kirchhoff type elliptic problems with hardy potential
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نویسنده
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negravi mostafa ,afrouzi ghasem a.
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منبع
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international journal of nonlinear analysis and applications - 2024 - دوره : 15 - شماره : 5 - صفحه:11 -22
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چکیده
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In this work, we establish existence results for the following fourth-order kirchhoff-type elliptic problem with hardy potential m(∫ z ω |∆u| p dx ∆2 pu − a |x| p |u| p−2u = λf(x, u), in ω, u = ∆u = 0, on ∂ ω. precisely, by using the classical hardy inequality and critical point theory, we prove the existence of multiple weak solutions for the fourth-order kirchhoff-type elliptic problem with hardy potential.
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کلیدواژه
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kirchhoff-type ,multiple solutions ,critical points theory ,hardy potential ,p-biharmonic type operator
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آدرس
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islamic azad university, tehran science and research branch, department of mathematics, iran, university of mazandaran, faculty of mathematical sciences, department of mathematics, iran
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پست الکترونیکی
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afrouzi@umz.ac.ir
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Authors
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