A comparison method for the fractional Laplacian and applications

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Fractional partial differential equations (35R11) Comparison principles in context of PDEs (35B51)

Cites Work

The second eigenvalue of the fractional \(p\)-Laplacian
Hitchhiker's guide to the fractional Sobolev spaces
The fractional Cheeger problem
Hopf's lemma and constrained radial symmetry for the fractional Laplacian
New boundary Harnack inequalities with right hand side
Variational problems with free boundaries for the fractional Laplacian
The strong maximum principle revisited.
On weighted positivity and the Wiener regularity of a boundary point for the fractional Laplacian
Sharp boundary behaviour of solutions to semilinear nonlocal elliptic equations
A non-local semilinear eigenvalue problem
A strong maximum principle for some quasilinear elliptic equations
A note on homogeneous Sobolev spaces of fractional order
A new boundary Harnack principle (equations with right hand side)
The Boundary Harnack principle for nonlocal elliptic operators in non-divergence form
The Dirichlet problem for nonlocal operators
Boundary regularity estimates for nonlocal elliptic equations in \(C^1\) and \(C^{1,\alpha }\) domains
Weak and viscosity solutions of the fractional Laplace equation
Espaces d'interpolation et théorème de Soboleff
A Hopf lemma for the regional fractional Laplacian
Regularity theory for fully nonlinear integro-differential equations
Positive solutions to the sublinear Lane-Emden equation are isolated
Holder estimates for solutions of integro differential equations like the fractional laplace
Nonlocal equations in bounded domains: a survey
Large time behavior of signed fractional porous media equations on bounded domains
On the logistic equation for the fractional p‐Laplacian
Boundary estimates and a Wiener criterion for the fractional Laplacian
The Wiener criterion for nonlocal Dirichlet problems

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