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Localized nodal solutions for semiclassical Choquard equations with critical growth

open access: yesElectronic Journal of Differential Equations
Bo Zhang, Wei Zhang
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Sign-changing solutions to the critical Choquard equation

Applied Mathematics Letters, 2022
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Xiaorong Luo, Anmin Mao
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Positive and Sign-changing Solutions for Critical Schrödinger–Poisson Systems with Sign-changing Potential

Qualitative Theory of Dynamical Systems, 2022
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Xiao-Ping Chen, Chun-Lei Tang
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Sign-changing solutions for schrödinger equations with vanishing and sign-changing potentials

Acta Mathematica Scientia, 2014
In this article, we study the existence of sign-changing solutions for the following Schrodinger equation u + V (x)u = K(x)|u| p 2 u x 2 R N , u ! 0 as |x| ! +1, where N 3, > 0 is a parameter, 2 < p < 2N N 2 , and the potentials V (x) and K(x) satisfy some suitable conditions. By using the method based on invariant sets of the descending flow, we
Yuanze WU, Yisheng HUANG, Zeng LIU
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Sign‐changing solutions for a nonhomogeneous Paneitz‐type problem

Mathematische Nachrichten, 2020
AbstractWe consider the problemwhere Ω is a bounded smooth domain in , , that exhibits certain symmetries and contains the origin, , , , and is a small parameter. By using the Lyapunov–Schmidt reduction method and topological degree theory, for each sufficiently large , we construct sign‐changing solutions to exhibitingknegative spikes at the vertices ...
Alarcón, Salomón, Varela, Nicolás
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Sign-changing Solutions for a Schrödinger Equation with Saturable Nonlinearity

Milan Journal of Mathematics, 2011
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Maia, L. A., Ruviaro, R.
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A Sign-Changing Solution for an Asymptotically Linear Schrödinger Equation

Proceedings of the Edinburgh Mathematical Society, 2015
AbstractThe aim of this paper is to present a sign-changing solution for a class of radially symmetric asymptotically linear Schrödinger equations. The proof is variational and the Ekeland variational principle is employed as well as a deformation lemma combined with Miranda’s theorem.
Maia, Liliane A.   +2 more
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Sign-changing solutions of nonlinear Schrödinger system

Journal of Mathematical Analysis and Applications, 2020
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Liu, Xiangqing   +2 more
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