A Hong-Krahn-Szegö inequality for mixed local and nonlocal operators (Q6195552)

scientific article; zbMATH DE number 7817649

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English	A Hong-Krahn-Szegö inequality for mixed local and nonlocal operators	scientific article; zbMATH DE number 7817649

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instance of

scholarly article

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title

A Hong-Krahn-Szegö inequality for mixed local and nonlocal operators (English)

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Mathematics in Engineering

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publication date

14 March 2024

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full work available at URL

https://arxiv.org/abs/2110.07129

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zbMATH Keywords

operators of mixed order

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first eigenvalue

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shape optimization

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isoperimetric inequality

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Faber-Krahn inequality

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quantitative results

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stability

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MaRDI profile type

MaRDI publication profile

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cites work

An Elliptic Boundary Value Problem with Fractional Nonlinearity

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Symmetric Decreasing Rearrangement Is Sometimes Continuous

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A Brascamp-Lieb-Luttinger–type inequality and applications to symmetric stable processes

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Second-order elliptic integro-differential equations: viscosity solutions' theory revisited

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Mixed local and nonlocal elliptic operators: regularity and maximum principles

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Semilinear elliptic equations involving mixed local and nonlocal operators

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Necessary condition in a Brezis-Oswald-type problem for mixed local and nonlocal operators

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A quantitative stability estimate for the fractional Faber-Krahn inequality

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On the Hong-Krahn-Szego inequality for the $p$-Laplace operator

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The fractional Cheeger problem

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Higher Hölder regularity for the fractional $p$-Laplacian in the superquadratic case

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The second eigenvalue of the fractional $p$-Laplacian

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Functional analysis, Sobolev spaces and partial differential equations

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The Bernstein technique for integro-differential equations

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Boundary Harnack principle for $Δ+ Δ^{𝛼/2}$

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Nonlocal Harnack inequalities

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Hitchhiker's guide to the fractional Sobolev spaces

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Linear theory for a mixed operator with Neumann conditions

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(Non)local logistic equations with Neumann conditions

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Description of an ecological niche for a mixed local/nonlocal dispersal: an evolution equation and a new Neumann condition arising from the superposition of Brownian and Lévy processes

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A local/nonlocal diffusion model

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Nonlinear ground state representations and sharp Hardy inequalities

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Fractional p-eigenvalues

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On the regularity theory for mixed local and nonlocal quasilinear elliptic equations

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Global regularity results for non-homogeneous growth fractional problems

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On the second eigenvalue of combination between local and nonlocal 𝑝-Laplacian

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On an inequality concerning the eigenvalue problem of membrane

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Nonlocal equations with measure data

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Fractional eigenvalues

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Should I stay or should I go? Zero-size jumps in random walks for Lévy flights

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On the characteristic frequencies of a symmetric membrane

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Isoperimetric Inequalities in Mathematical Physics. (AM-27)

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On the mixed local-nonlocal Hénon equation.

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A Brezis-Nirenberg result for non-local critical equations in low dimension

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Symmetrization for fractional elliptic and parabolic equations and an isoperimetric application

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Identifiers

arXiv ID

2110.07129

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6195552