Nodal multi-peak standing waves of fourth-order Schrödinger equations with mixed dispersion

DOI10.1007/s12220-021-00795-xzbMath1479.35794OpenAlexW4200146727MaRDI QIDQ2061546

Yi He, Vicenţiu D. Rădulescu, Xiao Luo

Publication date: 15 December 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-021-00795-x

zbMATH Keywords

multi-peak solutionsconcentrationfourth-order Schrödinger equationmixed dispersion

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Higher-order elliptic equations (35J30) Semilinear elliptic equations (35J61)

Related Items

Multi-peak solutions of a class of fractional \(p\)-Laplacian equations, Singular quasilinear critical Schrödinger equations in \(\mathbb{R}^N\)

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