6 citations · 7 across the 3 of their papers we have counts for
3 papers
math.AP2023
Infinitely many solutions for Kirchhoff equations with indefinite potential
Shuai Jiang, Shibo Liu
We obtain a sequence of solutions converging to zero for the Kirchhoff equation $$-\left( 1+\int_Ω\left\vert \nabla u\right\vert^2\right) Δu+V(x)u=f(u)\text{,\qquad}u\in H_{0}^{1}(…
math.CA2017★ 1 cited
On surjectivity of smooth maps into Euclidean spaces and the fundamental theorem of algebra
Peng Liu, Shibo Liu
In this note we obtain the surjectivity of smooth maps into Euclidean spaces under mild conditions. As application we give a new proof of the Fundamental Theorem of Algebra. We als…
math.AP2014★ 6 cited
Existence results for fractional p-Laplacian problems via Morse theory
Antonio Iannizzotto, Shibo Liu, Kanishka Perera +1
We investigate a class of quasi-linear nonlocal problems, including as a particular case semi-linear problems involving the fractional Laplacian and arising in the framework of con…