Riemannian geometry has today become a vast and important subject. This new book of
Marcel Berger sets out to introduce readers to most of the living topics of the field and …

Let Ω be a bounded, simply connected, regular domain of RN, N⩾ 2. For 0< ε< 1, let uε: Ω→
C be a smooth solution of the Ginzburg–Landau equation in Ω with Dirichlet boundary …

Generalising classical result of Müller and Šverák (J. Differ. Geom. 42 (2), 229-258, 1995),
we obtain a pointwise estimate of the conformal factor of sequences of conformal …

We study Hamiltonian stationary Lagrangian surfaces in C^ 2, ie Lagrangian surfaces in C^
2 which are stationary points of the area functional under smooth Hamiltonian variations …

We establish the existence of partially regular weak solutions for the Landau–Lifshitz
equation in three space dimensions for smooth initial data of finite Dirichlet energy. The …

In a recent work, F. Da Lio, M. Gianocca, and T. Rivi\ere developped a new method to show
upper semi-continuity results in geometric analysis, which they applied to conformally …

We explore some geometric aspects of compensation compactness associated to Jacobian
determinants. We provide the optimal constant in Wente's inequality-the original motivation …

We propose a characterisation of Willmore immersions inspired from the works of R. Bryant
on Willmore surfaces and J. Dorfmeister, F. Pedit, H.-Y. Wu on harmonic maps between a …

We establish a quantization result for the angular part of the energy of solutions to elliptic
linear systems of Schrödinger type with antisymmetric potentials in two dimensions. This …

We consider a branched Willmore surface immersed in ℝ m≥ 3 with square-integrable
second fundamental form. We develop around each branch point local asymptotic …