Principal eigenvalue of mixed problem for the fractional Laplacian: moving the boundary conditions
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Publication:1745639
DOI10.1016/j.jde.2018.03.001zbMath1401.35077arXiv1702.07644OpenAlexW2617206288MaRDI QIDQ1745639
Tommaso Leonori, María Medina, Fernando Soria, Ireneo Peral Alonso, A. R. M. Primo
Publication date: 18 April 2018
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.07644
Estimates of eigenvalues in context of PDEs (35P15) Nonlinear elliptic equations (35J60) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Fractional partial differential equations (35R11)
Related Items (7)
Mixed boundary value problems for fully nonlinear degenerate or singular equations ⋮ A remark on nonlocal Neumann conditions for the fractional Laplacian ⋮ The Neumann problem for the fractional Laplacian: regularity up to the boundary ⋮ Attainability of the fractional Hardy constant with nonlocal mixed boundary conditions: applications ⋮ Eigenvalues of the Laplacian with moving mixed boundary conditions: the case of disappearing Dirichlet region ⋮ Mosco convergence of nonlocal to local quadratic forms ⋮ Fractional elliptic problem in exterior domains with nonlocal Neumann condition
Cites Work
- Unnamed Item
- Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations
- Hitchhiker's guide to the fractional Sobolev spaces
- Nonlocal problems with Neumann boundary conditions
- The Dirichlet problem for nonlocal operators with singular kernels: convex and nonconvex domains
- Effect of the boundary conditions in the behavior of the optimal constant of some Caffarelli-Kohn-Nirenberg inequalities. Application to some doubly critical nonlinear elliptic problems
- Bounds for the heat diffusion through windows of given area
- Optimal design problems for the first \(p\)-fractional eigenvalue with mixed boundary conditions
- Semilinear elliptic problems with mixed Dirichlet-Neumann boundary conditions.
- The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
- Nonlocal minimal surfaces
- Windows of given area with minimal heat diffusion
- Strong maximum principles for fractional elliptic and parabolic problems with mixed boundary conditions
- Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces
- Nonlocal equations in bounded domains: a survey
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