Attainability of the fractional Hardy constant with nonlocal mixed boundary conditions: applications
From MaRDI portal
Publication:6105862
DOI10.3934/dcds.2018131zbMath1524.35669arXiv1709.08399OpenAlexW2962735209MaRDI QIDQ6105862
Ahmed Attar, Ireneo Peral Alonso, Boumediene Abdellaoui, A. Dieb
Publication date: 9 June 2023
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.08399
Variational methods applied to PDEs (35A15) Integro-differential operators (47G20) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11) Topological and monotonicity methods applied to PDEs (35A16)
Related Items (3)
Integral representation of solutions using Green function for fractional Hardy equations ⋮ The Brezis–Nirenberg problem for fractional systems with Hardy potentials ⋮ Fractional Hardy-Sobolev equations with nonhomogeneous terms
Cites Work
- Unnamed Item
- Unnamed Item
- Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations
- Nonlocal diffusion and applications
- The effect of the Hardy potential in some Calderón-Zygmund properties for the fractional Laplacian
- Optimal results for the fractional heat equation involving the Hardy potential
- Elliptic PDEs, measures and capacities. From the Poisson equation to nonlinear Thomas-Fermi problems
- Radial fractional Laplace operators and Hessian inequalities
- Hitchhiker's guide to the fractional Sobolev spaces
- Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential
- Nonlocal problems with Neumann boundary conditions
- 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
- Positive solutions of nonlinear problems involving the square root of the Laplacian
- Nonlinear ground state representations and sharp Hardy inequalities
- Sharp constants in the Hardy-Rellich inequalities
- Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)
- A nonlocal concave-convex problem with nonlocal mixed boundary data
- Principal eigenvalue of mixed problem for the fractional Laplacian: moving the boundary conditions
- On the variational principle
- On positive entire solutions to a class of equations with a singular coefficient and critical exponent
- Caffarelli-Kohn-Nirenberg type inequalities of fractional order with applications
- A remark on the fractional Hardy inequality with a remainder term
- Local and nonlocal boundary conditions for \(\mu\)-transmission and fractional elliptic pseudodifferential operators
- Some global results for nonlinear eigenvalue problems
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Some Remarks on Elliptic Equations with Singular Potentials and Mixed Boundary Conditions
- Pitt's Inequality and the Uncertainty Principle
- Strong maximum principles for fractional elliptic and parabolic problems with mixed boundary conditions
- An Extension Problem Related to the Fractional Laplacian
- The Brezis-Nirenberg result for the fractional Laplacian
This page was built for publication: Attainability of the fractional Hardy constant with nonlocal mixed boundary conditions: applications
