Existence and Holder regularity of infinitely many solutions to a p-Kirchhoff-type problem involving a singular nonlinearity without the Ambrosetti-Rabinowitz (AR) condition

被引：18
作者：
Choudhuri, Debajyoti [1 ]
机构：
[1] Natl Inst Technol, Dept Math, Rourkela, India
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2021年 / 72卷 / 01期
关键词：
Singularity; Non-Ambrosetti-Rabinowitz condition; Cerami condition; Multiplicity; Symmetric Mountain Pass theorem; NONTRIVIAL SOLUTIONS; INEQUALITIES DRIVEN; MULTIPLE SOLUTIONS; POSITIVE SOLUTIONS; LOCAL MINIMIZERS; WEAK SOLUTIONS; LAPLACIAN; SEQUENCES; EQUATIONS; SOBOLEV;
D O I：
10.1007/s00033-020-01464-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We carry out an investigation of the existence of infinitely many solutions to a fractional p-Kirchhoff-type problem with a singularity and a superlinear nonlinearity with a homogeneous Dirichlet boundary condition. Further, the solution(s) will be proved to be bounded and a weak comparison principle has also been proved. A 'C-1 versus W-0(s,p)' analysis has also been discussed.
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页数：26
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