Michael Struwe | Academic Influence

Michael Struwe's AcademicInfluence.com Rankings

Michael Struwe

Mathematics

#2065

World Rank

#3246

Historical Rank

Measure Theory

#1182

World Rank

#1507

Historical Rank

mathematics Degrees

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Mathematics

Michael Struwe's Degrees

PhD Mathematics University of Bonn

Why Is Michael Struwe Influential?

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According to Wikipedia, Michael Struwe is a German mathematician who specializes in calculus of variations and nonlinear partial differential equations. He won the 2012 Cantor medal from the Deutsche Mathematiker-Vereinigung for "outstanding achievements in the field of geometric analysis, calculus of variations and nonlinear partial differential equations".

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Michael Struwe'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

Variational methods: Applications to nonlinear partial differential equations and Hamiltonian systems (1990) (1803)
A global compactness result for elliptic boundary value problems involving limiting nonlinearities (1984) (691)
On the evolution of harmonic mappings of Riemannian surfaces (1985) (467)
Geometric wave equations (1998) (446)
On partial regularity results for the navier‐stokes equations (1988) (356)
Calculus of Variations and Geometric Evolution Problems (1999) (330)
Existence and partial regularity results for the heat flow for harmonic maps (1989) (306)
Some existence results for superlinear elliptic boundary value problems involving critical exponents (1986) (295)
On the evolution of harmonic maps in higher dimensions (1988) (254)
The existence of surfaces of constant mean curvature with free boundaries (1988) (219)
Well-posedness in the energy space for semilinear wave equations with critical growth (1994) (215)
Regularity results for nonlinear wave equations (1993) (211)
On the partial regularity of weak solutions of nonlinear parabolic systems (1982) (197)
On multivortex solutions in Chern-Simons gauge theory (1998) (197)
Critical points of embeddings of H01,n into Orlicz spaces (1988) (172)
On the asymptotic behavior of minimizers of the Ginzburg-Landau model in $2$ dimensions (1994) (170)
Infinitely many critical points for functionals which are not even and applications to superlinear boundary value problems (1980) (162)
Globally regular solutions to the $u^5$ Klein-Gordon equation (1988) (161)
Plateau's problem and the calculus of variations (1989) (159)
Convergence of the Yamabe flow for ``large'' energies (2003) (158)
Bifurcation and multiplicity results for nonlinear elliptic problems involving critical Sobolev exponents (1984) (135)
Global Compactness Properties of Semilinear Elliptic Equations with Critical Exponential Growth (2000) (135)
Equivariant wave maps in two space dimensions (2003) (128)
Geometric evolution problems (1995) (126)
The Cauchy problem for wave maps (2002) (112)
Existence of steady vortex rings in an ideal fluid (1989) (109)
Curvature flows on surfaces (2002) (96)
The Yang-Mills flow in four dimensions (1994) (82)
Semilinear wave equations (1992) (82)
Q-curvature flow on S^4 (2006) (80)
Existence of periodic solutions of Hamiltonian systems on almost every energy surface (1990) (78)
On the Hölder continuity of bounded weak solutions of quasilinear parabolic systems (1981) (77)
A flow approach to Nirenberg's problem (2005) (74)
A note on the problem −Δu=λu+u|u|2*−2 (1986) (70)
Positive solutions of critical semilinear elliptic equations on non-contractible planar domains (2000) (70)
Partial regularity for harmonic maps and related problems (2006) (67)
Multiple solutions of differential equations without the Palais-Smale condition (1982) (65)
LargeH-surfaces via the mountain-pass-lemma (1985) (61)
On a free boundary problem for minimal surfaces (1984) (56)
Nonuniqueness in the plateau problem for surfaces of constant mean curvature (1986) (56)
Superlinear elliptic boundary value problems with rotational symmetry (1982) (53)
Partial regularity for biharmonic maps, revisited (2008) (53)
On a Liouville-type theorem for linear and nonlinear elliptic differential equations on a torus (1992) (53)
On a Serrin-Type Regularity Criterion for the Navier–Stokes Equations in Terms of the Pressure (2007) (50)
Regular solutions of the stationary Navier-Stokes equations on ℝ5 (1995) (49)
A note on a result of Ambrosetti and Mancini (1982) (48)
CONCENTRATION PHENOMENA FOR LIOUVILLE'S EQUATION IN DIMENSION FOUR (2006) (47)
Radially symmetric wave maps from (1 + 2)-dimensional Minkowski space to the sphere (2002) (45)
Multiple solutions of anticoercive boundary value problems for a class of ordinary differential equations of second order (1980) (44)
On a critical point theory for minimal surfaces spanning a wire in Rn. (1984) (39)
An optimal regularity result for a class of quasilinear parabolic systems (1981) (38)
Global existence of the equivariant Yang-Mills heat flow in four space dimensions (1998) (38)
Quasilinear elliptic eigenvalue problems (1983) (37)
Weak compactness of wave maps and harmonic maps (1998) (37)
The heat flow with a critical exponential nonlinearity (2009) (36)
Weak convergence of wave maps from (1+2)-dimensional Minkowski space to Riemannian manifolds (1997) (35)
Asymptotic Profile for a Fourth Order PDE with Critical Exponential Growth in Dimension Four (2004) (35)
Global existence of wave maps in $1 + 2$ dimensions with finite energy data (1996) (34)
Global well-posedness of the Cauchy problem for a super-critical nonlinear wave equation in two space dimensions (2011) (34)
Multiple Solutions to the Dirichlet Problem for the Equation of Prescribed Mean Curvature (1990) (34)
Morse-Conley theory for minimal surfaces of varying topological type (1990) (34)
Radially symmetric wave maps from (1 + 2)-dimensional Minkowski space to general targets (2003) (34)
“Large” conformal metrics of prescribed Gauss curvature on surfaces of higher genus (2015) (32)
Uniqueness for critical nonlinear wave equations and wave maps via the energy inequality (1999) (29)
Quantization for a fourth order equation with critical exponential growth (2007) (26)
A new approach to the Ricci flow on $S^2$ (1994) (26)
Towards Robust H-infinity Control of an SI Engine's Air/Fuel Ratio (1999) (24)
Asymptotic limits of a Ginzburg-Landau type functional (1996) (24)
The evolution of harmonic mappings with free boundaries (1991) (23)
A Morse theory for annulus-type minimal surfaces. (1986) (23)
The critical nonlinear wave equation in two space dimensions (2013) (22)
On uniqueness and stability for supercritical nonlinear wave and Schrödinger equations (2006) (22)
Heat-flow methods for harmonic maps of surfaces and applications to free boundary problems (1988) (21)
Three non-trival solutions of anticoercive boundary value problems for the Pseudo-Laplace-operator. (1981) (18)
A counterexample in elliptic regularity theory (1981) (18)
Uniqueness of harmonic maps with small energy (1998) (18)
A counterexample in regularity theory for parabolic systems (1984) (18)
Quantization for an elliptic equation of order 2m with critical exponential non-linearity (2010) (17)
Infinitely many solutions of superlinear boundary value problems with rotational symmetry (1981) (17)
Variational problems on vector bundles (1990) (16)
The evolution of harmonic maps (1991) (14)
A ‘Super-Critical’ Nonlinear Wave Equation in 2 Space Dimensions (2011) (13)
Calculus of variations and geometric evolution problems : lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro, Italy, June 15-22, 1996 (1999) (13)
The Evolution of Harmonic Maps: Existence, Partial Regularity, and Singularities (1992) (12)
On the Hölder continuity of bounded weak solutions of quasi-linear parabolic inequalities (1985) (12)
An Analytic Framework for the supercritical Lane Emden Equation and its Gradient Flow (2014) (11)
Periodic motions of conservative systems with singular potentials (1994) (11)
"Bubbling" of the prescribed curvature flow on the torus (2020) (9)
Some regularity results for quasi-linear parabolic systems (1985) (9)
Variational Principles for Minimal Surfaces (1999) (9)
On Regularity Criteria in Conjunction with the Pressure of the Navier-Stokes Equations Kyungkeun Kang and Jihoon Lee (2006) (8)
Harmonic maps on planar lattices (1997) (7)
WAVE MAPS WITH AND WITHOUT SYMMETRIES (7)
Spatially discrete wave maps on $(1 + 2)$-dimensional space-time (1998) (7)
Boundary regularity for the supercritical Lane-Emden heat flow (2015) (5)
Well-posedness of the supercritical Lane–Emden heat flow in Morrey spaces (2015) (5)
Supercritical Elliptic Equations (2012) (4)
Scattering for a critical nonlinear wave equation in two space dimensions (2016) (4)
A Liouville-Type Result for a Fourth Order Equation in Conformal Geometry (2020) (3)
D.-A. Geba, M. G. Grillakis: An Introduction to the Theory of Wave Maps and Related Geometric Problems (2017) (3)
A λ Control Observer with Fault Correction (1998) (3)
'Synaptic' bodies in the pineal glands of the cow, sheep and pig. (1990) (3)
Plateau flow or the heat flow for half-harmonic maps (2022) (2)
ON GEOMETRIC HEAT FLOWS IN CRITICAL DIMENSIONS (2006) (2)
REMARKS ON A LIMITING CASE IN THE TREATMENT OF NONLINEAR PROBLEMS WITH MOUNTAIN PASS GEOMETRY (2010) (2)
The Direct Methods in the Calculus of Variations (1990) (2)
Q-CURVATURE FLOW ON S (2)
Normalized Harmonic Map Heat Flow (2019) (2)
Applications of variational methods to problems in the geometry of surfaces (1988) (2)
A one-way function from thermodynamics and applications to cryptography (2003) (2)
I. Existence of a solution (1989) (2)
Global existence and partial regularity results for the evolution of harmonic maps (1990) (1)
On the solvability of ordinary differential equations with only partially continuous right-hand-side by difference methods (1981) (1)
Free Boundary Problems for Surfaces of Constant Mean Curvature (1987) (1)
The supercritical Lane–Emden equation and its gradient flow (2014) (1)
Erratum to: Boundary regularity for the supercritical Lane-Emden heat flow (2015) (1)
Regularity results for harmonic maps of Minkowski space (1991) (1)
The linear wave equation (2000) (1)
Nonlinear Evolution Problems (2005) (1)
Recent existence and regularity results for wave maps (1997) (1)
“Bubbling” and Topological Degeneration in the Calculus of Variations (2023) (0)
F Ur Mathematik in Den Naturwissenschaften Leipzig Harmonic Maps on Planar Lattices Harmonic Maps on Planar Lattices (1997) (0)
III. The existence of surfaces of prescribed constant mean curvature spanning a Jordan curve in IR3 (1989) (0)
CRITICAL POINTS OF THE MOSER-TRUDINGER ENERGY IN THE SUPER-CRITICAL REGIME (2009) (0)
D.-A. Geba, M. G. Grillakis: An Introduction to the Theory of Wave Maps and Related Geometric Problems (2017) (0)
Towards H-infinity Control of an SI Engine's A/F Ratio (1999) (0)
Wave maps with symmetry (2000) (0)
The Yang-Mills gradient flow in four dimensions (1994) (0)
A Life-Long Devotion to Mathematics (2003) (0)
Variational Methods in Geometry (2016) (0)
Book Review: Introduction to regularity theory for nonlinear elliptic systems (1995) (0)
WAVE MAPS (2014) (0)
Addendum to: Supercritical Elliptic Equations (2013) (0)
A Partial Differential Equation (1998) (0)
Subject Index, Vol. 139, 1990 (1990) (0)
2 8 A pr 2 00 6 PARTIAL REGULARITY FOR HARMONIC MAPS , AND RELATED PROBLEMS (2006) (0)
Variational Methods in Geometry (2017) (0)
Scattering for a critical nonlinear wave equation in two space dimensions (2015) (0)
Preface (2021) (0)
Quantization for an elliptic equation of order 2m with critical exponential non-linearity (2010) (0)
II. Unstable minimal surfaces (1989) (0)
Olga Ladyzhenskaya A Life-Long Devotion to Mathematics (2003) (0)
Erratum to: Boundary regularity for the supercritical Lane-Emden heat flow (2015) (0)
The contributions of Simon Brendle (2018) (0)
SCATTERING FOR A CRITICAL NONLINEAR WAVE EQUATION IN TWO DIMENSIONS (2014) (0)
Limit Cases of the Palais-Smale Condition (1990) (0)
Globol eHistence ond portiol regulority results for the euolution of hormonic mops (1990) (0)
Boundary regularity for the supercritical Lane-Emden heat flow (2015) (0)
The wave equation (2000) (0)
NORMALIZED HARMONIC MAP HEAT FLOW OR THE EXISTENCE OF HARMONIC 3-SPHERES (2018) (0)
Aqueous 2K PU systems containing hydroxy-functional polydimethylsiloxanes (2005) (0)
A new proof of Yamabe's theorem (2001) (0)
Nonlinear Evolution Equations (2008) (0)
Preface: Special Issue Dedicated to Jürgen Jost’s 65th Birthday (2021) (0)
Contents, Vol. 139, 1990 (1990) (0)
IV. Unstable H-surfaces (1989) (0)

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