A Hong-Krahn-Szegö inequality for mixed local and nonlocal operators
From MaRDI portal
Publication:6195552
DOI10.3934/mine.2023014arXiv2110.07129OpenAlexW3206090751MaRDI QIDQ6195552
Serena Dipierro, Enrico Valdinoci, Stefano Biagi, Eugenio Vecchi
Publication date: 14 March 2024
Published in: Mathematics in Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.07129
stabilityisoperimetric inequalityshape optimizationfirst eigenvalueFaber-Krahn inequalityquantitative resultsoperators of mixed order
Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items
Cites Work
- The second eigenvalue of the fractional \(p\)-Laplacian
- Nonlocal Harnack inequalities
- Hitchhiker's guide to the fractional Sobolev spaces
- The fractional Cheeger problem
- Second-order elliptic integro-differential equations: viscosity solutions' theory revisited
- Nonlinear ground state representations and sharp Hardy inequalities
- Functional analysis, Sobolev spaces and partial differential equations
- Higher Hölder regularity for the fractional \(p\)-Laplacian in the superquadratic case
- A Brezis-Nirenberg result for non-local critical equations in low dimension
- Should I stay or should I go? Zero-size jumps in random walks for Lévy flights
- 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
- Global regularity results for non-homogeneous growth fractional problems
- The Bernstein technique for integro-differential equations
- A quantitative stability estimate for the fractional Faber-Krahn inequality
- Nonlocal equations with measure data
- Symmetrization for fractional elliptic and parabolic equations and an isoperimetric application
- On the Hong-Krahn-Szego inequality for the \(p\)-Laplace operator
- Fractional eigenvalues
- On the characteristic frequencies of a symmetric membrane
- Necessary condition in a Brezis-Oswald-type problem for mixed local and nonlocal operators
- On the mixed local-nonlocal Hénon equation.
- A Brascamp-Lieb-Luttinger–type inequality and applications to symmetric stable processes
- Boundary Harnack principle for $Δ+ Δ^{𝛼/2}$
- Symmetric Decreasing Rearrangement Is Sometimes Continuous
- An Elliptic Boundary Value Problem with Fractional Nonlinearity
- Mixed local and nonlocal elliptic operators: regularity and maximum principles
- Linear theory for a mixed operator with Neumann conditions
- On the regularity theory for mixed local and nonlocal quasilinear elliptic equations
- Semilinear elliptic equations involving mixed local and nonlocal operators
- On the second eigenvalue of combination between local and nonlocal 𝑝-Laplacian
- Fractional p-eigenvalues
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)
- On an inequality concerning the eigenvalue problem of membrane
- A local/nonlocal diffusion model
- (Non)local logistic equations with Neumann conditions