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existence of solution for a class of fractional problems with sign-changing functions
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نویسنده
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mohammadi yaghoobi farajollah ,shamshiri jamileh
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منبع
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journal of mathematical extension - 2021 - دوره : 15 - شماره : 5 - صفحه:1 -15
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چکیده
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In this paper, we study the existence and multiplicity of solutions for the following fractional problem (−∆)s pu + a(x)|u| p−2 u = f(x, u), with the dirichlet boundary condition u = 0 on ∂ω where ω is a bounded domain with smooth boundary, p ≥ 2, s ∈ (0, 1) and a(x) is a sign-changing function. moreover, we consider two different assumptions on the function f(x, u), including the cases of nonnegative and sign-changing function.
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کلیدواژه
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critical points ,fractional partial differential equations ,weak solutions ,nehari manifold ,fibering map.
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آدرس
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islamic azad university, hamedan branch, faculty of science, department of mathematics, iran, tabaran institute of higher education, department of accounting, iran
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پست الکترونیکی
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jamileshamshiri@gmail.com
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Authors
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