Nonlinear nonlocal elliptic problems in \(\mathbb{R}^3\): existence results and qualitative properties

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Cites Work

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The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions
Nonlinear scalar field equations. I: Existence of a ground state
Classification of positive solitary solutions of the nonlinear Choquard equation
Ground states for Kirchhoff equation with Hartree-type nonlinearities
On gravity's role in quantum state reduction
Minimax theorems
On a critical Kirchhoff-type problem
Polyharmonic Kirchhoff problems involving exponential non-linearity of Choquard type with singular weights
On a class of Kirchhoff-Choquard equations involving variable-order fractional \(p(\cdot)\)-Laplacian and without Ambrosetti-Rabinowitz type condition
Multiplicity results for \(p\)-Kirchhoff modified Schrödinger equations with Stein-Weiss type critical nonlinearity in \(\mathbb{R}^N\).
\(n\)-Kirchhoff-Choquard equations with exponential nonlinearity
A note on Kirchhoff-type equations with Hartree-type nonlinearities
Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
Existence of solutions with prescribed norm for semilinear elliptic equations
The Choquard equation and related questions
Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
An approach to symmetrization via polarization
Existence of groundstates for a class of nonlinear Choquard equations
Existence and asymptotic behavior of solutions for Kirchhoff equations with general Choquard-type nonlinearities
A remark on Chern-Simons-Schrödinger equations with Hartree type nonlinearity
Existence of ground state solutions for a Choquard double phase problem

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