Liouville-type theorem for logarithmic Laplacian systems in coercive epigraphs

Maximum principles in context of PDEs (35B50) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47) Fractional partial differential equations (35R11) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Cites Work

A direct method of moving planes for the fractional Laplacian
Maximum principles for a fully nonlinear fractional order equation and symmetry of solutions
Liouville type theorem for critical order Hénon-Lane-Emden type equations on a half space and its applications
Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
Positive solutions of nonlinear problems involving the square root of the Laplacian
Direct method of moving planes for logarithmic Laplacian system in bounded domains
Maximum principles for the fractional p-Laplacian and symmetry of solutions
Nonexistence results for a class of fractional elliptic boundary value problems
Remark on some conformally invariant integral equations: the method of moving spheres
Liouville type theorems for integral equations and integral systems
Monotonicity of positive solutions for nonlocal problems in unbounded domains
A Liouville type theorem for Lane-Emden systems involving the fractional Laplacian
Direct methods for pseudo-relativistic Schrödinger operators
Monotonicity and nonexistence of positive solutions for pseudo-relativistic equation with indefinite nonlinearity
Maximum principles and monotonicity of solutions for fractional \(p\)-equations in unbounded domains
Regularity for the nonlinear Signorini problem
Indefinite fractional elliptic problem and Liouville theorems
Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
Classification of Solutions for a System of Integral Equations
The Dirichlet problem for the logarithmic Laplacian
Effective dynamics for boson stars
RADIAL SYMMETRY OF POSITIVE SOLUTIONS TO EQUATIONS INVOLVING THE FRACTIONAL LAPLACIAN
An Extension Problem Related to the Fractional Laplacian
Classification of solutions for an integral equation
Some monotonicity results for the fractional Laplacian in unbounded domain

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