NODAL SOLUTIONS OF QUASILINEAR SCHRODINGER EQUATIONS IN RN

DIFFERENTIAL AND INTEGRAL EQUATIONS(2024)

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摘要
In this paper, we consider the existence of stationary solutions to a class of quasilinear Schro center dot dinger 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.
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