Nonradiality of second fractional eigenfunctions of thin annuli

DOI10.3934/CPAA.2023003OpenAlexW4312170679MaRDI QIDQ2699535

Sven Jarohs, Sidy M. Djitte

Publication date: 19 April 2023

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.04907

zbMATH Keywords

second eigenfunctionobstaclefractional Laplacianextremal eigenvaluenonradiality

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) Pseudodifferential operators (47G30) Symmetries, invariants, etc. in context of PDEs (35B06)

Cites Work

• Unnamed Item
• Hitchhiker's guide to the fractional Sobolev spaces
• The Pohozaev identity for the fractional Laplacian
• Eigenvalues of the fractional Laplace operator in the interval
• Where to place a spherical obstacle so as to maximize the second Dirichlet eigenvalue
• Regularity estimates for nonlocal Schrödinger equations
• Anti-symmetry of the second eigenfunction of the fractional Laplace operator in a 3-D ball
• The Cauchy process and the Steklov problem
• Qualitative properties of nodal solutions of semilinear elliptic equations in radially symmetric domains
• Symmetry of odd solutions to equations with fractional Laplacian
• Morse index versus radial symmetry for fractional Dirichlet problems
• A fractional Hadamard formula and applications
• Fractional Laplace operator and Meijer G-function
• The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
• Gradient Estimates in fractional Dirichlet Problems
• Overdetermined problems with fractional laplacian
• Nonradiality of second eigenfunctions of the fractional Laplacian in a ball
• The Dirichlet problem for the logarithmic Laplacian
• Eigenvalues of the fractional Laplace operator in the unit ball

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