Dancer-Fučik spectrum for fractional Schrödinger operators with a steep potential well on \(\mathbb{R}^N\)

DOI10.1016/j.na.2019.06.024zbMath1427.35056OpenAlexW2957024585MaRDI QIDQ2278479

Zhisu Liu, Haijun Luo, Zhi-tao Zhang

Publication date: 5 December 2019

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2019.06.024

zbMATH Keywords

nonresonancefractional Schrödinger operatorsDancer-Fučik point spectrumfoliated Schwartz symmetric

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (6)

The Fučík spectrum for one dimensional Kreĭn-Feller operators ⋮ Normalized solutions to the fractional Schrödinger equations with combined nonlinearities ⋮ Normalized solutions to the fractional Kirchhoff equations with a perturbation ⋮ Three positive solutions for Kirchhoff problems with steep potential well and concave-convex nonlinearities ⋮ Existence and concentration of solutions for the sublinear fractional Schrödinger-Poisson system ⋮ Stable standing waves of nonlinear fractional Schrödinger equations

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