The fractional Brezis-Nirenberg problems on lower dimensions

DOI10.1016/j.jde.2021.03.018zbMath1471.35158OpenAlexW3136814468MaRDI QIDQ2020118

Benniao Li, Yuxia Guo, Shusen Yan, Angela Pistoia

Publication date: 23 April 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2021.03.018

zbMATH Keywords

non-degeneracyfractional Laplacian operatornon-radial solutionsBrezis-Nirenberg problems

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Fractional partial differential equations (35R11) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (6)

Existence and multiplicity results for fractional Schrödinger equation with critical growth ⋮ Infinitely Many Solutions for the Fractional Nonlinear Schrödinger Equations of a New Type ⋮ Uniqueness and nondegeneracy for Dirichlet fractional problems in bounded domains via asymptotic methods ⋮ Spiked solutions for fractional Schrödinger systems with Sobolev critical Exponent ⋮ Critical functions and blow-up asymptotics for the fractional Brezis-Nirenberg problem in low dimension ⋮ Two solutions for fractional elliptic systems

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