Existence and non-existence results for a singular second-order elliptic equation

Elliptic equations on manifolds, general theory (58J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)

Cites Work

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Lichnerowicz-type equations on complete manifolds
Nonlinear elliptic problems on Riemannian manifolds and applications to Emden-Fowler type equations
A critical point theorem via the Ekeland variational principle
Existence results for the Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds
On singular \(Q\)-curvature type equations
A variational analysis of Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds
Bounded solutions of the Schrödinger equation on noncompact Riemannian manifolds
Stability and multiple solutions to Einstein-scalar field Lichnerowicz equation on manifolds
On the singular second-order elliptic equation
Existence results for the Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds in the null case
Effective multiplicity for the Einstein-scalar field Lichnerowicz equation
The Einstein-scalar field constraints on asymptotically Euclidean manifolds
The constraint equations for the Einstein-scalar field system on compact manifolds
Constant mean curvature solutions of the Einstein constraint equations on closed manifolds
On the Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds
The Lichnerowicz equation in the closed case of the Einstein-Maxwell theory
Variational Methods
Existence and uniqueness results for a singular Kirchhoff type equation on a closed manifold
Multiplicity results for nonhomogenous elliptic equation involving the generalized Paneitz-Branson operator

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