The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Displaying 181 –
200 of
1373
We prove that minimizers of the functional , ⊂ , n ≥ 3, which satisfy the Dirichlet boundary condition on for g: → with zero topological degree, converge in and for any α<1 - upon passing to a subsequence - to some minimizing n-harmonic map. This is a generalization of an earlier result obtained for n=2 by Bethuel, Brezis, and Hélein. An example of nonunique asymptotic behaviour (which cannot occur in two dimensions if deg g = 0) is presented.
Let (x,u,∇u) be a Lagrangian periodic of period 1 in
x1,...,xn,u. We shall study the non self intersecting
functions u: RnR minimizing ; non self intersecting means that, if u(x0 + k) + j = u(x0)
for some x0∈Rn and (k , j) ∈Zn × Z, then
u(x) = u(x + k) + jx. Moser has shown that each of these
functions is at finite distance from a plane
u = ρx and thus
has an average slope ρ; moreover, Senn has proven that it is
possible to define the average action of u, which is usually called since...
We prove existence and bifurcation results for a semilinear eigenvalue problem in , where the linearization — has no eigenvalues. In particular, we show...
A bifurcation problem for the equation
in a bounded domain in with mixed boundary conditions, given nonnegative functions and a small perturbation is considered. The existence of a global bifurcation between two given simple eigenvalues of the Laplacian is proved under some assumptions about the supports of the functions . These assumptions are given by the character of the eigenfunctions of the Laplacian corresponding to .
Currently displaying 181 –
200 of
1373