The Neumann problem for the Hénon equation, trace inequalities and Steklov eigenvalues

The main purpose of this work is to study and give optimal estimates for the Dirichlet problem for the biharmonic operator A 2 on an arbitrary bounded Lipschitz domain D in R\ with

It is proved the existence of solutions to the exterior Dirichlet problem for the minimal hypersurface equation in complete non- compact Riemannian manifolds either with

In order to study the asymptotic profile of the ground state solutions we need to develop finer estimates on the ground state energy than those given above and to derive a

- Uniqueness and existence results for boundary value problems for the minimal surface equation on exterior domains obtained.. by Langévin-Rosenberg and Krust in

This quest initiated the mathematical interest for estimating the sum of Dirichlet eigenvalues of the Laplacian while in physics the question is related to count the number of

Kröger, Upper bounds for the Neumann eigenvalues on a bounded domain in Eulidean spae,

For all the above eigenvalue problems, we derive estimates for submanifolds of spheres and projectives spaces by the use of the standard embeddings, as well as isoperimetric

Polyhedral results and valid inequalities for the Continuous Energy-Constrained Scheduling Problem.. Margaux Nattaf, Tamás Kis, Christian Artigues,