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Multiple solutions for a nonlinear fractional boundary value problem via critical point theory
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نویسنده
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wang y. ,liu y. ,cui y.
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منبع
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journal of function spaces - 2017 - دوره : 2017 - شماره : 0
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چکیده
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This paper is concerned with the existence of multiple solutions for the following nonlinear fractional boundary value problem: dt-αaxd0+αux=fx,ux,xϵ0,t,u0=ut=0,where αϵ1/2,1,axϵl∞0,t with a0=ess infxϵ0,tax>0,dt-α and d0+α stand for the left and right riemann-liouville fractional derivatives of order α,respectively,and f:0,t×r→r is continuous. the existence of infinitely many nontrivial high or small energy solutions is obtained by using variant fountain theorems. © 2017 yang wang et al.
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آدرس
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school of mathematics and statistics,shandong normal university,jinan,shandong, China, school of mathematics and statistics,shandong normal university,jinan,shandong, China, department of mathematics,shandong university of science and technology,qingdao,shandong, China
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Authors
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