Some new convergence results in finite element theories for elliptic problems
Some new oscillation criteria for second order elliptic equations with damping
Some new oscillation criteria are obtained for second order elliptic differential equations with damping , x ∈ Ω, where Ω is an exterior domain in ℝⁿ. These criteria are different from most known ones in the sense that they are based on the information only on a sequence of subdomains of Ω ⊂ ℝⁿ, rather than on the whole exterior domain Ω. Our results are more natural in view of the Sturm Separation Theorem.
Some new problems in spectral optimization
We present some new problems in spectral optimization. The first one consists in determining the best domain for the Dirichlet energy (or for the first eigenvalue) of the metric Laplacian, and we consider in particular Riemannian or Finsler manifolds, Carnot-Carathéodory spaces, Gaussian spaces. The second one deals with the optimal shape of a graph when the minimization cost is of spectral type. The third one is the optimization problem for a Schrödinger potential in suitable classes.
Some nonexistence results for positive solutions of elliptic equations in unbounded domains.
Some nonstandard finite element estimates with applications to Poisson and Signorini problems.
Some observations on the first eigenvalue of the -Laplacian and its connections with asymmetry.
Some possibly degenerate elliptic problems with measure data and non linearity on the boundary
The goal of this paper is to study some possibly degenerate elliptic equation in a bounded domain with a nonlinear boundary condition involving measure data. We investigate two types of problems: the first one deals with the laplacian in a bounded domain with measure supported on the domain and on the boundary. A second one deals with the same type of data but involves a degenerate weight in the equation. In both cases, the nonlinearity under consideration lies on the boundary. For the first problem,...
Some priori estimates about solutions to nonhomogeneous -harmonic equations.
Some problems in inverse scattering theory
Some progress in conformal geometry.
Some properties of exponentially harmonic maps
Some properties of Palais-Smale sequences with applications to elliptic boundary-value problems.
Some properties of reachable solutions of nonlinear elliptic equations with measure data
Some properties of Riesz means and spectral expansions. (With an appendix by R. A. Gustafson).
Some regularity results for a family of variational inequalities
Some Regularity Results for Quasilinear Elliptic Systems of Second Order.
Some regularity theorems in riemannian geometry
Some remark on the nonexistence of positive solutions for some -Laplacian systems.
Some remarkable properties of -graphs.
Some remarks on a class of elliptic equations with degenerate coercivity
We study degenerate elliptic problems of the type