Liouville theorems for Choquard-Pekar equations on the half space

Pseudodifferential operators as generalizations of partial differential operators (35S05) Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Cites Work

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Pointwise bounds and blow-up for Choquard-Pekar inequalities at an isolated singularity
Classification of isolated singularities of positive solutions for Choquard equations
A guide to the Choquard equation
Classification of positive solitary solutions of the nonlinear Choquard equation
Elliptic partial differential equations of second order
Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains
Polyharmonic inequalities with nonlocal terms
Positive solutions for quasilinear elliptic inequalities and systems with nonlocal terms
Liouville theorem and classification of positive solutions for a fractional Choquard type equation
Liouville theorems involving the fractional Laplacian on a half space
Liouville-type theorems for the Lane-Emden equation in the half-space and cones
A direct blowing-up and rescaling argument on nonlocal elliptic equations
Regularity of the obstacle problem for a fractional power of the laplace operator
A priori bounds for positive solutions of nonlinear elliptic equations
Global and local behavior of positive solutions of nonlinear elliptic equations
Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
Isolated singularities of positive solutions for Choquard equations in sublinear case
Spherically-symmetric solutions of the Schrödinger-Newton equations
Quasilinear elliptic inequalities with Hardy potential and nonlocal terms
A Liouville-Type Theorem for the Lane–Emden Equation in a Half-space
Methods in Nonlinear Analysis
Liouville type theorems for the generalized higher order Choquard-Pekar equation

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