scholarly journals Multiple solutions for weighted Kirchhoff equations involving critical Hardy-Sobolev exponent

2020 ◽  
Vol 10 (1) ◽  
pp. 673-683
Author(s):  
Zupei Shen ◽  
Jianshe Yu
Keyword(s):  
Multiple Solutions ◽  
Kirchhoff Equations ◽  
Sobolev Exponent

Abstract In this article, we consider a class of Kirchhoff equations with critical Hardy-Sobolev exponent and indefinite nonlinearity, which has not been studied in the literature. We prove very nicely that this equation has at least two solutions in ℝ3. And some known results in the literature are improved.

Multiple solutions for a class of nonhomogeneous semilinear equations with critical cone Sobolev exponent

2018 ◽  
Vol 147 (2) ◽  
pp. 597-608
Author(s):  
Morteza Koozehgar Kalleji ◽  
Mohsen Alimohammady ◽  
Ali Asghar Jafari
Keyword(s):  
Multiple Solutions ◽  
Semilinear Equations ◽  
Critical Cone ◽  
Sobolev Exponent

scholarly journals Multiple Solutions for Kirchhoff Equations under the Partially Sublinear Case

2015 ◽  
Vol 2015 ◽  
pp. 1-4 ◽  
Author(s):  
Wenjun Feng ◽  
Xiaojing Feng
Keyword(s):  
Multiple Solutions ◽  
Infinitely Many Solutions ◽  
Kirchhoff Equations ◽  
Kirchhoff Type ◽  
Clark’S Theorem

We prove the infinitely many solutions to a class of sublinear Kirchhoff type equations by using an extension of Clark’s theorem established by Zhaoli Liu and Zhi-Qiang Wang.

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