On the classification of solutions of cosmic strings equation
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Publication:2009084
DOI10.1007/s10231-019-00861-wzbMath1439.35149OpenAlexW2944886689WikidataQ127870988 ScholiaQ127870988MaRDI QIDQ2009084
Publication date: 27 November 2019
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-019-00861-w
Liouville-type theoremsfinite Morse index solutionssemi-linear partial differential equationsweak stable solutions
Second-order elliptic equations (35J15) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
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On stable and finite Morse index solutions of the nonlocal Hénon-Gelfand-Liouville equation ⋮ Partial regularity and Liouville theorems for stable solutions of anisotropic elliptic equations ⋮ Extremal solution and Liouville theorem for anisotropic elliptic equations
Cites Work
- Unnamed Item
- On non-topological solutions for planar Liouville systems of Toda-type
- Blow-up analysis for a cosmic strings equation
- Asymptotic behavior and symmetry of condensate solutions in electroweak theory
- Blow-up analysis for some mean field equations involving probability measures from statistical hydrodynamics
- On stable solutions of the biharmonic problem with polynomial growth
- Analytical issues in the construction of self-dual Chern-Simons vortices
- Partial regularity of finite Morse index solutions to the Lane-Emden equation
- Finite Morse index solutions of an elliptic equation with supercritical exponent
- Some Liouville theorems for Hénon type elliptic equations
- Existence of multistring solutions of the self-gravitating massive \(W\)-boson
- On the classification of solutions of the Lane-Emden equation on unbounded domains of \(\mathbb R^N\)
- Blow-up analysis for an elliptic equation describing stationary vortex flows with variable intensities in 2D-turbulence
- Self duality of the gauge field equations and the cosmological constant
- Liouville theorems for stable solutions of biharmonic problem
- On the classification of stable solutions to biharmonic problems in large dimensions
- Local behavior of solutions of quasi-linear equations
- Existence of stationary turbulent flows with variable positive vortex intensity
- The Gel'fand problem for the biharmonic operator
- A monotonicity formula and a Liouville-type theorem for a fourth order supercritical problem
- Existence of a semilinear elliptic system with exponential nonlinearities
- Finite Morse index solutions of exponential problems
- Self-gravitating cosmic strings and the Alexandrov’s inequality for Liouville-type equations
- On finite Morse index solutions of two equations with negative exponent
- On the classification of solutions of -Δ𝑢=𝑒^{𝑢} on ℝ^{ℕ}: Stability outside a compact set and applications
- On Singular Liouville Systems
- A mean field equation involving positively supported probability measures: blow-up phenomena and variational aspects
- Symmetry and uniqueness of solutions to some Liouville-type equations and systems
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