Frank Merle

Frank Merle's AcademicInfluence.com Rankings

Frank Merle

Mathematics

#8607

World Rank

#11695

Historical Rank

Measure Theory

#5131

World Rank

#6069

Historical Rank

mathematics Degrees

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Mathematics

Frank Merle's Degrees

PhD Mathematics Paris-Saclay University
Masters Mathematics Paris-Saclay University
Bachelors Mathematics Paris-Saclay University

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Frank Merle's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)eu in two dimensions (1991) (709)
Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power (1993) (253)
Construction of solutions with exactly k blow-up points for the Schrödinger equation with critical nonlinearity (1990) (198)
L2 concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity (1990) (192)
Quantization effects for −Δu = u(1 − |u|2) in ℝ2 (1994) (109)
Existence of stationary states for nonlinear Dirac equations (1988) (90)
Existence of excited states for a nonlinear Dirac field (1988) (82)
Blow up of the critical norm for some radial L2 super critical nonlinear Schrödinger equations (2006) (68)
The instability of Bourgain-Wang solutions for the L2 critical NLS (2010) (58)
Limit of the solution of a nonlinear Schrödinger equation at blow-up time (1989) (33)
Blow-up phenomena for critical nonlinear Schrödinger and Zakharov equations. (1998) (32)
Limit behavior of saturated approximations of nonlinear Schrödinger equation (1992) (15)
On blow up for the energy super critical defocusing nonlinear Schrödinger equations (2021) (7)
Construction of Multi-Solitons for the Energy-Critical Wave Equation in Dimension 5 (2016) (2)
A note on the existence of a solution for a model of Mc Laughlin, Moloney, and Newell for optical ring cavities (1989) (1)
Dynamics Near the Ground State for the Energy Critical Nonlinear Heat Equation in Large Dimensions (2016) (1)
Effects de quantification pour -Δu=u(1-|u|2) sur R2 (1993) (0)
On the Stability of the Notion of Non-Characteristic Point and Blow-Up Profile for Semilinear Wave Equations (2014) (0)
Global dynamics of energy critical focusing nonlinear wave equations (Nonlinear Partial Differential Equations, Dynamical Systems and Their Applications) (2014) (0)