Results 41 to 50 of about 129 (112)

Stable domains for higher order elliptic operators

Comptes Rendus. Mathématique
This paper is devoted to prove that any domain satisfying a $(\delta _0,r_0)$-capacitary condition of first order is automatically $(m,p)$-stable for all $m\geqslant 1$ and $p> 1$, and for any dimension $N\geqslant 1$.
Grosjean, Jean-François, Lemenant, Antoine, Mougenot, Rémy   +2 more
doaj   +1 more source

Mosco convergence of sequences of homogeneous polynomials

Revista Matemática Complutense, 1998
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openaire   +3 more sources

The digitalization of family life: A multilevel conceptual framework

Journal of Marriage and Family, Volume 86, Issue 5, Page 1160-1183, October 2024.
Abstract The internet and digital technologies have penetrated all domains of people's lives, and family life is no exception. Despite being a characterizing feature of contemporary family change, the digitalization of family life has yet to be systematically theorized.
Yue Qian, Yang Hu
wiley   +1 more source

Quasi‐conical domains with embedded eigenvalues

Bulletin of the London Mathematical Society, Volume 56, Issue 9, Page 2969-2981, September 2024.
Abstract The spectrum of the Dirichlet Laplacian on any quasi‐conical open set coincides with the non‐negative semi‐axis. We show that there is a connected quasi‐conical open set such that the respective Dirichlet Laplacian has a positive (embedded) eigenvalue.
David Krejčiřík, Vladimir Lotoreichik
wiley   +1 more source

On the existence of energy‐variational solutions in the context of multidimensional incompressible fluid dynamics

Mathematical Methods in the Applied Sciences, Volume 47, Issue 6, Page 4319-4344, April 2024.
We define the concept of energy‐variational solutions for the Navier–Stokes and Euler equations and prove their existence in any space dimension. It is shown that the concept of energy‐variational solutions enjoys several desirable properties. Energy‐variational solutions are not only known to exist and coincide with local strong solutions, but the ...
Robert Lasarzik
wiley   +1 more source

Mosco convergence in locally convex spaces

Journal of Functional Analysis, 1992
Given a dual pair \(E\), \(F\) of locally convex spaces, each with its corresponding weak topology \(\sigma\) and Mackey topology \(\tau\), one says that a sequence \(\{f_ n\}\) of functions \(E\to [-\infty,\infty]\) (or \(F\to [-\infty,\infty]\)) is Mosco-convergent to a function \(f_ 0\) if the following conditions are satisfied for each \(v\) in \(E\
openaire   +2 more sources

T-minima on convex sets and Mosco-convergence

Rendiconti di Matematica e delle Sue Applicazioni, 2020
Summary: Half century ago, Umberto Mosco was the ``relatore di tesi (tesi about the Mosco-convergence) di laurea'' of the first author; a quart of century ago, the first author was the ``relatore di tesi di laurea'' of the second author. The roots of this paper are the Mosco-convergence of convex sets and the minimization of integral functionals of the
Boccardo L., Leone C.
openaire   +3 more sources

On a theorem about Mosco convergence in Hadamard spaces

, 2020
Let $(f^n),f$ be a sequence of proper closed convex functions defined on a Hadamard space. We show that the convergence of proximal mappings $J^n_λx$ to $J_λx$, under certain additional conditions, imply Mosco convergence of $f^n$ to $f$. This result is a converse to a theorem of Bacak about Mosco convergence in Hadamard spaces.
openaire   +2 more sources

Existence of continuous solutions to evolutionary quasi-variational inequalities with applications

Le Matematiche, 2007
The author presents dynamic elastic traffic equilibrium problems with data depending explicitly on time and studies under which assumptions the continuity of solutions with respect to the time can be ensured.
Annamaria Barbagallo
doaj  

Unilateral problems for quasilinear operators with fractional Riesz gradients

Advances in Nonlinear Analysis
In this work, we develop the classical theory of monotone and pseudomonotone operators in the class of convex-constrained Dirichlet-type problems involving fractional Riesz gradients in bounded and in unbounded domains Ω⊂Rd\Omega \subset {{\mathbb{R ...
Campos Pedro Miguel, Rodrigues José Francisco   +1 more
doaj   +1 more source