Michaël Struwe
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View article: The prescribed curvature flow on the disc
The prescribed curvature flow on the disc Open
For given functions $f$ and $j$ on the disc $B$ and its boundary $\partial B=S^1$, we study the existence of conformal metrics $g=e^{2u}g_0$ with prescribed Gauss curvature $K_g=f$ and boundary geodesic curvature $k_g=j$. Using the variati…
View article: Plateau flow or the heat flow for half-harmonic maps
Plateau flow or the heat flow for half-harmonic maps Open
Using the interpretation of the half-Laplacian on S 1 as the Dirichletto-Neumann operator for the Laplace equation on the ball B, we devise a classical approach to the heat flow for half-harmonic maps from S 1 to a closed target manifold N…
View article: “Bubbling” and Topological Degeneration in the Calculus of Variations
“Bubbling” and Topological Degeneration in the Calculus of Variations Open
After recalling first instances of “topological degeneration” and “bubbling” in geometric analysis we present current challenges in applications of variational methods to problems in this field.
View article: Plateau flow or the heat flow for half-harmonic maps
Plateau flow or the heat flow for half-harmonic maps Open
Using the interpretation of the half-Laplacian on $S^1$ as the Dirichlet-to-Neumann operator for the Laplace equation on the ball $B$, we devise a classical approach to the heat flow for half-harmonic maps from $S^1$ to a closed target man…
View article: Preface
Preface Open
ISSN:2305-2228