The Dirichlet problem for harmonic maps from the disk into the euclidean n-sphere
The Dirichlet problem for the equation of prescribed mean curvature
The Dirichlet problem with sublinear nonlinearities
We investigate the existence of solutions of the Dirichlet problem for the differential inclusion for a.e. y ∈ Ω, which is a generalized Euler-Lagrange equation for the functional . We develop a duality theory and formulate the variational principle for this problem. As a consequence of duality, we derive the variational principle for minimizing sequences of J. We consider the case when G is subquadratic at infinity.
The Dirichlet-problem for harmonic maps from the disk into a lorentzian warped product
The distribution of eigenvalues of partial differential operators
The dual variational principle and discontinuous elliptic problems with strong resonance at infinity.
The duals of generic hypersurfaces.
The effect of the graph topology on the existence of multipeak solutions for nonlinear Schrödinger equations.
The eigenvalues of the Laplacian for the homology of the Lie algebra corresponding to a poset.
The e-invariant and the spectrum of the Lapacian for compact nilmanifolds covered by Heisenberg groups.
The enveloping group of a lie algebra
The Equator Map and the negative exponential functional.
The equivariant Dehn's lemma and loop theorem.
The eta invariant and metrics of positive scalar curvature.
The eta Invariant and ...O of Lens Spaces.
The eta invariant and the equivariant unitary bordism of spherical space form groups
The eta invariant and the K-theory of odd dimensional spherical space forms.
The eta invariant (some recent developments)
The Euler and Helmholtz operators on fibered manifolds with oriented bases
We study naturality of the Euler and Helmholtz operators arising in the variational calculus in fibered manifolds with oriented bases.
The Euler characteristic of vector fields on Banach manifolds and the problem of Plateau