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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.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…