Nontrivial solutions of Kirchhoff type problems. - Juan Sun; Shibo Liu 002 (Appl. Math. Lett., 2012)

On the Surjectivity of Smooth Maps into Euclidean Spaces and the Fundamental Theorem of Algebra. - Peng Liu; Shibo Liu 002 (Am. Math. Mon., 2018)

Multiple positive solutions of a class of Schrödinger-Poisson equation involving indefinite nonlinearity in R3. - Wenbin Gan; Shibo Liu 002 (Appl. Math. Lett., 2019)

Multiple solutions for Schrödinger-Kirchhoff equations with indefinite potential. - Shuai Jiang; Shibo Liu 002 (Appl. Math. Lett., 2022)

Infinitely many solutions for indefinite Kirchhoff equations and Schrödinger-Poisson systems. - Shuai Jiang; Shibo Liu 002 (Appl. Math. Lett., 2023)

Gagliardo-Nirenberg-Sobolev Inequality: An Induction Proof. - Shibo Liu 002 (Am. Math. Mon., 2023)