Ground states for fractional Kirchhoff equations with critical nonlinearity in low dimension

DOI10.1007/S00030-017-0473-7zbMath1375.35500arXiv1612.07914OpenAlexW2566976771MaRDI QIDQ2411119

Zhisu Liu, Marco Squassina, Jian Jun Zhang

Publication date: 20 October 2017

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.07914

zbMATH Keywords

profile decompositionground state solutionsfractional Kirchhoff type problems

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Fractional derivatives and integrals (26A33) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Differential geometry of symmetric spaces (53C35) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Positive solutions to PDEs (35B09) Integro-partial differential equations (35R09)

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