一类变指数分数阶微分方程的多重解

Journal of Jilin University Science Edition ›› 2018, Vol. 56 ›› Issue (6): 1324-1330.

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Multiple Solutions for a Class of Fractional DifferentialEquation with Variable Exponents#br#

ZHANG Shengui

College of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, China

Received:2018-04-08 Online:2018-11-26 Published:2018-11-23

Abstract

Abstract: By using variational methods and the theory of fractional variable exponent Sobolev space, the author investigated the fractional differential equation with p(x)-Laplacian operator, under the condition of local superlinear growth nonlinearity, some sufficient conditions for the existence of multiple solutions for this problem were obtained.

Key words: fractional differential equation, boundary value problem, critical point, p(x)-Laplacian operator

CLC Number:

O177.91

ZHANG Shengui. Multiple Solutions for a Class of Fractional DifferentialEquation with Variable Exponents#br#[J].Journal of Jilin University Science Edition, 2018, 56(6): 1324-1330.

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Multiple Solutions for a Class of Fractional DifferentialEquation with Variable Exponents#br#

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