Qualitative properties of singular solutions of Choquard equations

zbMath1500.35152MaRDI QIDQ2083432

Feng Zhou, Huyuan Chen

Publication date: 10 October 2022

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/advances-in-differential-equations/volume-28/issue-1_2f_2/Qualitative-properties-of-singular-solutions-of-Choquard-equations/ade028-0102-35.full

zbMATH Keywords

existenceChoquard equations

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)

Related Items (2)

Liouville type theorems for the generalized higher order Choquard-Pekar equation ⋮ Elliptic inequalities with nonlinear convolution and Hardy terms in cone-like domains

Cites Work

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• Classification of isolated singularities of positive solutions for Choquard equations
• A guide to the Choquard equation
• Finite Morse index solutions of an elliptic equation with supercritical exponent
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• Ground states and geometrically distinct solutions for periodic Choquard-Pekar equations
• Classification of positive solitary solutions of the nonlinear Choquard equation
• Symmetry and related properties via the maximum principle
• Isolated singularities in semilinear problems
• Qualitative properties of positive solutions for mixed integro-differential equations
• Local behavior of solutions of some elliptic equations
• Nonlinear problems related to the Thomas-Fermi equation
• Representation formulae for nonhomogeneous differential operators and applications to PDEs
• Existence and asymptotic behavior of ground states for Choquard-Pekar equations with Hardy potential and critical reaction
• Singular solutions for coercive quasilinear elliptic inequalities with nonlocal terms
• Positive solutions for quasilinear elliptic inequalities and systems with nonlocal terms
• Initial pointwise bounds and blow-up for parabolic Choquard-Pekar inequalities
• Isolated singularities of solutions of defocusing Hartree equation
• Saddle solutions for the Choquard equation
• Boundary singularity of Choquard equation in the half space
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• Non-radial singular solutions of Lane-Emden equations in $R^N$
• Radial symmetry of positive solutions of nonlinear elliptic equations in Rⁿ
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Strongly interacting bumps for the Schrödinger–Newton equations
• Hartree-Fock theory in nuclear physics
• The Choquard equation and related questions
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domains
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Isolated singularities of positive solutions for Choquard equations in sublinear case
• Classification of isolated singularities of nonnegative solutions to fractional semi-linear elliptic equations and the existence results
• Existence of groundstates for a class of nonlinear Choquard equations
• On the method of moving planes and the sliding method
• Classification of solutions for an integral equation

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