Liouville type theorem and uniform bound for the Lichnerowicz equation and the Ginzburg-Landau equation
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Publication:710846
DOI10.1016/j.crma.2010.07.031zbMath1201.35063OpenAlexW1990108729MaRDI QIDQ710846
Publication date: 22 October 2010
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2010.07.031
Elliptic equations on manifolds, general theory (58J05) Ginzburg-Landau equations (35Q56) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
Related Items (23)
Stability for radial solutions of equations of the Chern-Simons-Higgs type ⋮ Lichnerowicz-type equations on complete manifolds ⋮ Moving planes for nonlinear fractional Laplacian equation with negative powers ⋮ Kato's inequality and Liouville theorems on locally finite graphs ⋮ Lichnerowicz-type equations with sign-changing nonlinearities on complete manifolds with boundary ⋮ Liouville theorem for \(p\)-Laplacian Lichnerowicz equation on compact manifolds ⋮ Harnack's inequality and Green's functions on locally finite graphs ⋮ Gradient estimates for \(p\)-Laplacian Lichnerowicz equation on noncompact metric measure space ⋮ A note on positive solutions of Lichnerowicz equations involving the \(\Delta_\lambda\)-Laplacian ⋮ Comments on two notes by L. Ma and X. Xu ⋮ Existence results for the Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds ⋮ A Liouville theorem for the fractional Ginzburg-Landau equation ⋮ Unnamed Item ⋮ Gradient estimates for a simple parabolic Lichnerowicz equation ⋮ Boundedness for solutions of equations of the Chern-Simons-Higgs type ⋮ Unnamed Item ⋮ Liouville theorem for the nonlinear Poisson equation on manifolds ⋮ On the \(p\)-Laplacian Lichnerowicz equation on compact Riemannian manifolds ⋮ Gradient estimates for the 𝑝-Laplacian Lichnerowicz equation on smooth metric measure spaces ⋮ Boundedness of solutions to Ginzburg–Landau fractional Laplacian equation ⋮ Asymptotic estimates for an integral equation in theory of phase transition ⋮ UNIFORM LOWER BOUND AND LIOUVILLE TYPE THEOREM FOR FRACTIONAL LICHNEROWICZ EQUATIONS ⋮ Remarks on an equation of the Ginzburg-Landau type
Cites Work
- Stability and instability for Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds
- A variational analysis of Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds
- Uniform bound and a non-existence result for Lichnerowicz equation in the whole \(n\)-space
- Deforming the metric on complete Riemannian manifolds
- Entire Solutions of Nonlinear Poisson Equations
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