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Quantization effects for ??u = u(1 ? |u|2) in ?2

https://doi.org/10.1007/bf00375695
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inferredcites →https://doi.org/10.1007/bf02760233openalex-snapshot
Schrödinger operators with singular potentials
inferredcites →https://doi.org/10.1137/0142054openalex-snapshot
Spiral Waves in Reaction-Diffusion Equations

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inferred← citeshttps://doi.org/10.1006/jfan.1997.3170openalex-snapshot
Lower Bounds for the Energy of Unit Vector Fields and Applications
inferred← citeshttps://doi.org/10.1006/jfan.1999.3391openalex-snapshot
Morrey–Campanato Estimates for Helmholtz Equations
inferred← citeshttps://doi.org/10.1007/978-3-0348-8895-0_3openalex-snapshot
Static and Moving Vortices in Ginzburg-Landau Theories
inferred← citeshttps://doi.org/10.1007/bf00275796openalex-snapshot
Quelques propri�t�s des solutions de l'�quation de Ginzburg-Landau sur un ouvert de ?2
inferred← citeshttps://doi.org/10.1007/bf01190822openalex-snapshot
The behavior of a Ginzburg-Landau minimizer near its zeroes
inferred← citeshttps://doi.org/10.1007/bf02786561openalex-snapshot
On a singular perturbation problem involving the distance to a curve
inferred← citeshttps://doi.org/10.1007/bf02788826openalex-snapshot
Lower bounds for the energy ofs 1-valued maps in perforated domains
inferred← citeshttps://doi.org/10.1007/bf02791255openalex-snapshot
Ginzburg-landau type energy with discontinuous constraint
inferred← citeshttps://doi.org/10.1007/pl00004324openalex-snapshot
Local minimizers for the Ginzburg-Landau energy
inferred← citeshttps://doi.org/10.1007/s00033-012-0284-yopenalex-snapshot
Singularity analysis of Ginzburg–Landau energy related to p-wave superconductivity
inferred← citeshttps://doi.org/10.1007/s00205-006-0018-4openalex-snapshot
Quantization and Motion Law for Ginzburg–Landau Vortices
inferred← citeshttps://doi.org/10.1007/s00205-010-0352-4openalex-snapshot
On the First Critical Field in Ginzburg–Landau Theory for Thin Shells and Manifolds
inferred← citeshttps://doi.org/10.1007/s00205-022-01794-0openalex-snapshot
Entire Vortex Solutions of Negative Degree for the Anisotropic Ginzburg–Landau System
inferred← citeshttps://doi.org/10.1007/s00208-003-0444-7openalex-snapshot
Non trivial L q solutions to the Ginzburg-Landau equation
inferred← citeshttps://doi.org/10.1007/s002290200266openalex-snapshot
Towards Jaffe and Taubes Conjectures in the strongly repulsive limit
inferred← citeshttps://doi.org/10.1007/s00526-020-01859-6openalex-snapshot
p-Harmonic maps to $$S^1$$ and stationary varifolds of codimension two
inferred← citeshttps://doi.org/10.1007/s101140100136openalex-snapshot
Static Theory for Planar Ferromagnets and Antiferromagnets
inferred← citeshttps://doi.org/10.1007/s10915-016-0284-8openalex-snapshot
Symmetric Homotopy Method for Discretized Elliptic Equations with Cubic and Quintic Nonlinearities
inferred← citeshttps://doi.org/10.1007/s11766-997-0009-8openalex-snapshot
Pinning of vortices for the ginzburglandau functional with variable coefficient
inferred← citeshttps://doi.org/10.1007/s11784-014-0181-4openalex-snapshot
Symmetry in nonlinear PDEs: Some open problems
inferred← citeshttps://doi.org/10.1016/j.aml.2018.08.002openalex-snapshot
Boundedness for solutions of equations of the Chern–Simons–Higgs type
inferred← citeshttps://doi.org/10.1016/j.aop.2018.11.019openalex-snapshot
Integer-squared laws for global vortices in the Born–Infeld wave equations
inferred← citeshttps://doi.org/10.1016/j.bulsci.2008.02.004openalex-snapshot
Singularity analysis of a p-Ginzburg–Landau type minimizer
inferred← citeshttps://doi.org/10.1016/j.cam.2007.03.012openalex-snapshot
Limiting properties of the second order Ginzburg–Landau minimizers
inferred← citeshttps://doi.org/10.1016/j.cam.2007.06.021openalex-snapshot
Some results on an n-Ginzburg–Landau-type minimizer
inferred← citeshttps://doi.org/10.1016/j.jde.2013.07.042openalex-snapshot
Symmetric vortices for two-component Ginzburg–Landau systems
inferred← citeshttps://doi.org/10.1016/j.jde.2026.114325openalex-snapshot
The helical vortex filaments of Ginzburg-Landau system in R 3
inferred← citeshttps://doi.org/10.1016/j.jfa.2003.07.012openalex-snapshot
Two results on entire solutions of Ginzburg–Landau system in higher dimensions
inferred← citeshttps://doi.org/10.1016/j.jfa.2006.07.006openalex-snapshot
Variational reduction for Ginzburg–Landau vortices
inferred← citeshttps://doi.org/10.1016/j.jfa.2007.10.015openalex-snapshot
Hamiltonian identities for elliptic partial differential equations
inferred← citeshttps://doi.org/10.1016/j.jfa.2008.09.020openalex-snapshot
Global minimizers for a p-Ginzburg–Landau-type energy in R2
inferred← citeshttps://doi.org/10.1016/j.jfa.2008.10.021openalex-snapshot
On the structure of fractional degree vortices in a spinor Ginzburg–Landau model
inferred← citeshttps://doi.org/10.1016/j.jfa.2013.07.029openalex-snapshot
Some remarks concerning symmetry-breaking for the Ginzburg–Landau equation
inferred← citeshttps://doi.org/10.1016/j.jmaa.2007.01.073openalex-snapshot
Quantization for a Ginzburg–Landau type energy related to superconductivity with normal impurity inclusion
inferred← citeshttps://doi.org/10.1016/j.jmaa.2009.08.011openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jmaa.2019.06.029openalex-snapshot
The correlation coefficient for vortices in the plane
inferred← citeshttps://doi.org/10.1016/j.matpur.2004.02.005openalex-snapshot
Existence of vortex-free solutions in the Painlevé boundary layer of a Bose–Einstein condensate
inferred← citeshttps://doi.org/10.1016/j.matpur.2005.08.008openalex-snapshot
Vortex helices for the Gross–Pitaevskii equation
inferred← citeshttps://doi.org/10.1016/j.matpur.2012.10.012openalex-snapshot
Vortex rings for the Gross–Pitaevskii equation in R3
inferred← citeshttps://doi.org/10.1016/j.na.2007.08.065openalex-snapshot
On the Chern–Simons–Higgs vortex equation without gauge fields
inferred← citeshttps://doi.org/10.1016/j.na.2008.11.078openalex-snapshot
Minimization of a quasi-linear Ginzburg–Landau type energy
inferred← citeshttps://doi.org/10.1016/j.na.2014.08.011openalex-snapshot
Weak anchoring for a two-dimensional liquid crystal
inferred← citeshttps://doi.org/10.1016/s0022-1236(03)00199-xopenalex-snapshot
A product-estimate for Ginzburg–Landau and corollaries
inferred← citeshttps://doi.org/10.1016/s0294-1449(16)30157-3openalex-snapshot
Vortices for a variational problem related to superconductivity
inferred← citeshttps://doi.org/10.1016/s0294-1449(16)30158-5openalex-snapshot
Unicité et minimalité des solutions d’une équation de Ginzburg-Landau
inferred← citeshttps://doi.org/10.1016/s0294-1449(99)80024-9openalex-snapshot
Scaling limits and regularity results for a class of Ginzburg–Landau systems
inferred← citeshttps://doi.org/10.1016/s0362-546x(98)00137-0openalex-snapshot
Curl-free Ginzburg–Landau vortices
inferred← citeshttps://doi.org/10.1016/s0764-4442(97)84768-4openalex-snapshot
Sur les solutions radiales de l'équation −Δu = u(1 − ¦u¦2) dans ℝN (N ≥ 3)
inferred← citeshttps://doi.org/10.1016/s0764-4442(97)88894-5openalex-snapshot
Finite-energy solutions, quantization effects and Liouville-type results for a variant of the Ginzburg-Landau systems in ℝK
inferred← citeshttps://doi.org/10.1016/s1874-5733(04)80007-xopenalex-snapshot
On a Class of Singular Perturbation Problems
inferred← citeshttps://doi.org/10.1017/nmj.2021.10openalex-snapshot
ENERGY CONCENTRATION PROPERTIES OF A p-GINZBURG–LANDAU MODEL
inferred← citeshttps://doi.org/10.1017/s030821050001283xopenalex-snapshot
Locally minimising solutions of − Δu = u(1 − |u|2) in R2
inferred← citeshttps://doi.org/10.1017/s0308210500019326openalex-snapshot
Minimizing properties of arbitrary solutions to the Ginzburg–Landau equation
inferred← citeshttps://doi.org/10.1017/s0308210500027281openalex-snapshot
A Ginzburg–Landau problem with weight having minima on the boundary
inferred← citeshttps://doi.org/10.1017/s1446788700000598openalex-snapshot
Two estimates concerning asymptotics of the minimizations of a Ginzburg-Landau functional
inferred← citeshttps://doi.org/10.1080/17476933.2025.2562487openalex-snapshot
Qualitative properties for solutions of fractional Ginzburg-Landau systems
inferred← citeshttps://doi.org/10.1088/0951-7715/24/10/009openalex-snapshot
Structure and Gevrey asymptotic of solutions representing topological defects to some partial differential equations
inferred← citeshttps://doi.org/10.1088/0951-7715/24/4/013openalex-snapshot
Variational approximations of trapped vortices in the large-density limit
inferred← citeshttps://doi.org/10.1088/1361-6544/abffe1openalex-snapshot
Asymptotic estimates for an integral equation in theory of phase transition
inferred← citeshttps://doi.org/10.1090/qam/1702openalex-snapshot
Asymptotic behavior of an integral equation of Allen-Cahn type
inferred← citeshttps://doi.org/10.1090/s0002-9939-2011-11112-2openalex-snapshot
Liouville type theorems for nonlinear elliptic equations on the whole space ℝ^{ℕ}
inferred← citeshttps://doi.org/10.1134/1.1842890openalex-snapshot
Symmetry-breaking solutions of the Ginzburg-Landau equation
inferred← citeshttps://doi.org/10.1134/s1061920825600576openalex-snapshot
Remarks on an Integral Equation of Landau–Lifschitz Type
inferred← citeshttps://doi.org/10.1137/12088327xopenalex-snapshot
Eigenfunction Expansion Method for Multiple Solutions of Semilinear Elliptic Equations with Polynomial Nonlinearity
inferred← citeshttps://doi.org/10.1137/s0036141097300581openalex-snapshot
Lower Bounds for Generalized Ginzburg--Landau Functionals
inferred← citeshttps://doi.org/10.1142/s0129055x00000101openalex-snapshot
ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF GINZBURG–LANDAU AND RELATED EQUATIONS
inferred← citeshttps://doi.org/10.1142/s021919971100449xopenalex-snapshot
THE GINZBURG–LANDAU FUNCTIONAL WITH A DISCONTINUOUS AND RAPIDLY OSCILLATING PINNING TERM. PART I: THE ZERO DEGREE CASE
inferred← citeshttps://doi.org/10.1142/s0219199799000109openalex-snapshot
LOCAL MINIMIZERS FOR THE GINZBURG–LANDAU ENERGY NEAR CRITICAL MAGNETIC FIELD: PART I
inferred← citeshttps://doi.org/10.1142/s0219530507000985openalex-snapshot
A LIOUVILLE PROPERTY FOR GINZBURG–LANDAU SYSTEMS
inferred← citeshttps://doi.org/10.1142/s0219530525500381openalex-snapshot
Ellipsoid-valued solutions of a static Landau–Lifschitz-type equation
inferred← citeshttps://doi.org/10.1155/s1073792804133588openalex-snapshot
inferred← citeshttps://doi.org/10.1215/s0012-7094-02-11116-8openalex-snapshot
Energy quantization for harmonic maps
inferred← citeshttps://doi.org/10.1216/rmj.2021.51.1973openalex-snapshot
Stability for radial solutions of equations of the Chern–Simons–Higgs type
inferred← citeshttps://doi.org/10.1512/iumj.2012.61.4707openalex-snapshot
Nonexistence of traveling waves for a nonlocal Gross--Pitaevskii equation
inferred← citeshttps://doi.org/10.1512/iumj.2012.61.4737openalex-snapshot
On compound vortices in a two-component Ginzburg--Landau functional
inferred← citeshttps://doi.org/10.1515/anona-2022-0315openalex-snapshot
On a system of multi-component Ginzburg-Landau vortices
inferred← citeshttps://doi.org/10.1515/ans-2023-0165openalex-snapshot
Quantization effects for multi-component Ginzburg-Landau vortices
inferred← citeshttps://doi.org/10.2140/apde.2023.16-9openalex-snapshot
inferred← citeshttps://doi.org/10.2140/apde.2023.16.2173openalex-snapshot
A uniqueness result for the two-vortex traveling wave in the nonlinear Schrödinger equation
inferred← citeshttps://doi.org/10.2140/pmp.2025.6.647openalex-snapshot
Positive-density ground states of the Gross–Pitaevskii equation
inferred← citeshttps://doi.org/10.3233/asy-2000-386openalex-snapshot
Asymptotic behavior of minimizers of a Ginzburg–Landau equation with weight near their zeroes
inferred← citeshttps://doi.org/10.3233/asy-2004-622openalex-snapshot
A minimization problem related to the Ginzburg–Landau model
inferred← citeshttps://doi.org/10.3390/math8060997openalex-snapshot
A Ginzburg–Landau Type Energy with Weight and with Convex Potential Near Zero
inferred← citeshttps://doi.org/10.3934/dcds.2024085openalex-snapshot
Regularity and Liouville theorem on an integral equation of Allen-Cahn type
inferred← citeshttps://doi.org/10.4171/rlm/1008openalex-snapshot
Some of my favorite open problems
inferred← citeshttps://doi.org/10.4310/maa.2002.v9.n3.a7openalex-snapshot
A Lioville Type Theorem for Minimizing Maps
inferred← citeshttps://doi.org/10.4310/maa.2003.v10.n1.a5openalex-snapshot
Regularity of the Minimizer for the D-Wave Ginzburg-Landau Energy
inferred← citeshttps://doi.org/10.48550/arxiv.1211.5657openalex-snapshot
On compound vortices in a two-component Ginzburg-Landau functional
inferred← citeshttps://doi.org/10.57262/die/1356050313openalex-snapshot
Minimization of a Ginzburg-Landau type energy with potential having a zero of infinite order
inferred← citeshttps://doi.org/10.5802/afst.1799openalex-snapshot
Asymptotics for minimizers of the Ginzburg–Landau energy with optimal regularity of the boundary data and applications
inferred← citeshttps://doi.org/10.5802/afst.1836openalex-snapshot
Towards an asymptotic analysis of the anisotropic Ginzburg–Landau model
inferred← citeshttps://doi.org/10.5802/crmath.91openalex-snapshot
A Liouville theorem for the fractional Ginzburg–Landau equation
inferred← citeshttps://doi.org/10.5802/slsedp.148openalex-snapshot
A uniqueness result for travelling waves in the Gross-Pitaevskii equation
inferred← citeshttps://doi.org/10.70675/f6beebf6z0bf7z42c6z9d40ze45333dcce7aopenalex-snapshot
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