2 papers
math.AP2023
Infinitely many new solutions for singularly perturbed Schrödinger equations
Benniao Li, Wei Long, Jianfu Yang
This paper deals with the existence of solutions for the following perturbed Schrödinger equation \begin{equation*} -\varepsilon^{2} Δu + V(x)u= |u|^{p-2}u, \, \, \text{ in } \, \,…
math.AP2018
Infinitely many non-radial solutions to a critical equation on annulus
Yuxia Guo, Benniao Li, Angela Pistoia +1
In this paper, we build infinitely many non-radial sign-changing solutions to the critical problem: \begin{equation*} \left\{\begin{array}{rlll} -Δu&=|u|^{\frac{4}{N-2}}u, &\hbox{…