This article focuses on L p-estimates for the square root of elliptic systems of second order in
divergence form on a bounded domain. We treat complex bounded measurable coefficients …

A full interpolation theory for Sobolev functions with smoothness between 0 and 1 and
vanishing trace on a part of the boundary of an open set is established. Geometric …

We prove the existence of a maximum for the first Steklov–Dirichlet eigenvalue in the class
of convex sets with a fixed spherical hole, under volume constraint. More precisely, if Ω= Ω …

arXiv:2005.04449v3 [math.AP] 14 Jun 2021 Page 1 arXiv:2005.04449v3 [math.AP] 14 Jun 2021 A
STABILITY RESULT FOR THE STEKLOV LAPLACIAN EIGENVALUE PROBLEM WITH A …

We deal with eigenvalue problems for the Laplacian with varying mixed boundary
conditions, consisting in homogeneous Neumann conditions on a vanishing portion of the …

A monotonicity result for the first Steklov–Dirichlet Laplacian eigenvalue | Revista
Matemática Complutense Skip to main content SpringerLink Account Menu Find a journal …

This paper explores a fully discrete approximation for a nonlinear hyperbolic PDE-
constrained optimization problem (P) with applications in acoustic full waveform inversion …

We consider divergence form operators with complex coefficients on an open subset of
Euclidean space. Boundary conditions in the corresponding parabolic problem are …

An energy functional for the obstacle problem in linear elasticity is obtained as a variational
limit of nonlinear elastic energy functionals describing a material body subject to pure …

Let $\Omega\subseteq\mathbb {R}^ d $ be open and $ D\subseteq\partial\Omega $ be a
closed part of its boundary. Under very mild assumptions on $\Omega $, we construct a …