Abstract
In this paper, we consider the existence of stationary solutions to a class of quasilinear Schrödinger type equations. As a main novelty with respect to previous results, we are able to deal with locally super-linear nonlinearities in a fairly general framework and prove the existence of finite energy nodal solutions. The proof is accomplished by a new variational perturbation approach together with a delicate analysis of the asymptotic behavior of descending flow.
Citation
Yongtao Jing. Haidong Liu. "Nodal solutions of quasilinear Schrödinger equations in $\mathbb R^N$." Differential Integral Equations 37 (9/10) 647 - 670, September/October 2024. https://doi.org/10.57262/die037-0910-647
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