Multiplicity results for biharmonic equations involving multiple Rellich-type potentials and critical exponents

Boundary Value Problems

Tsing-San Hsu¹  Jinguo Zhang² 

[1] Department of Natural Science in the Center for General Education, Chang Gung University;School of Mathematics, Jiangxi Normal University;

关键词: Multiplicity;    Biharmonic equations;    Rellich-type potential;    Critical Sobolev exponent;   

DOI  :  10.1186/s13661-019-1216-y

来源: DOAJ

【 摘 要 】

Abstract In this paper, a biharmonic equation is investigated, which involves multiple Rellich-type potentials and a critical Sobolev exponent. By using variational methods and analytical techniques, the existence and multiplicity of nontrivial solutions to the equation are established.

【 授权许可】

Unknown