一类p(x)-双调和方程Navier边值问题解的多重性  

Multiplicity of Solutions for Navier Boundary Value Problem of a Class of p(x)-Biharmonic Equation

作　　者：张申贵[1] ZHANG Shengui(College of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 730030, Chin)

机构地区：[1]西北民族大学数学与计算机科学学院,兰州730030

出　　处：《吉林大学学报（理学版）》2017年第4期861-865,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:31260098);西北民族大学中央高校基本科研业务费专项基金(批准号:31920130004)

摘　　要：利用变指数Sobolev空间理论和临界点理论中的Clark定理,研究一类Kirchhoff型p(x)-双调和方程Navier边值问题.当非线性项满足次临界条件且在零点附近次线性增长时,得到了无穷多解的存在性.By using the theory of variable exponent Sobolev spaces and the Clark＇s theorem in critical point theory,the author investigated Navier boundary value problem for a class of Kirchhoff-type p（x）-biharmonic equation. When the nonlinear term satisfied the critical condition and growed linearly near zero,the author obtained the existence of infinitely many solutions.

关 键 词：p(x)-双调和方程 Navier边值问题 临界点 

分 类 号：O175.8[理学—数学]