On the bounds of the sum of eigenvalues for a Dirichlet problem involving mixed fractional Laplacians

DOI10.1016/j.jde.2022.02.004zbMath1487.35259arXiv2012.04016OpenAlexW3113267324MaRDI QIDQ2078880

Huyuan Chen, Mousomi Bhakta, Hichem Hajaiej

Publication date: 4 March 2022

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

Full work available at URL: https://arxiv.org/abs/2012.04016

zbMATH Keywords

Dirichlet eigenvaluesfractional LaplacianBerezin-Li-Yau method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Related Items (6)

Normalized solutions for a class of scalar field equations involving mixed fractional Laplacians ⋮ On blowup solutions for the mixed fractional Schrödinger equation of Choquard type ⋮ The radial symmetry of positive solutions for semilinear problems involving weighted fractional Laplacians ⋮ Existence and dynamics of normalized solutions to nonlinear Schrödinger equations with mixed fractional Laplacians ⋮ On the weighted Dirichlet eigenvalues of Hardy operators involving critical gradient terms ⋮ A sharp Gagliardo-Nirenberg inequality and its application to fractional problems with inhomogeneous nonlinearity

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